2011-2025 Form

It is 7,9 + 9,1 + 1 + 3 + 9 = 30Wish you can find the 7,9 and 9,1 in the list of1,3,5,   7,9    ,11,13,151,3,5,7,      9,1    1,13,15

My question had been merged with another one and as a result, I have added the previous answer to the present one. Hopefully this provides a clearer explanation. Just using the numbers given there, it's not possible, because odd + odd = even, even + odd = odd. 30 is an even number, the answer of 3 odd numbers must be odd, it's a contradiction. If what people say is true, then the question is wrongly phrased its any number of operations within those three brackets must lead to 30. Then it becomes a lot easier. Such as 15 + 7 + (7 + 1). That would give 30. But it assumes something that the question does not state explicitly and cannot be done that way. I still stick to my first point, it can't be done within the realm of math and just using three numbers, if not, then the latter is a way to solve it.EDIT:   This question has come up many times, Any odd number can be expressed as the following, Let [math]n, m, p[/math] be an odd number, [math] n = 1 (mod[/math] [math]2), m = 1 (mod[/math] [math]2), p = 1 (mod[/math] [math]2)[/math][math]n+m+p = 1 + 1 + 1 (mod[/math] [math]2)[/math]Let's call [math]n+m+p[/math] as [math]x[/math][math]=> x = 3 (mod[/math] [math]2)[/math]Numbers in modulo n can be added, I'll write a small proof for it below, [math]a = b (mod[/math] [math]n), c = d (mod[/math] [math]n)[/math][math]a+c = b+d (mod[/math] [math]n)[/math]We can rewrite [math]b[/math] and [math]d[/math] in the following way, [math]n | (b - a) => b-a = n*p[/math] (for some integer p) [math]b = a + np[/math][math]b = a + np, d = c + nq[/math][math]b + d = a + np + c + nq[/math][math]b+d = a + c + n(p + q)[/math]Now we have shown that our result is true, moving forward, [math]3 = 1 (mod[/math] [math]2)[/math][math]x = 1 (mod[/math] [math]2)[/math]Therefore the sum of three odd numbers can never be even. It will always be congruent to 1 in mod 2.(This was what I wrote for a merged answer).Modular arithmetic  - Link on modular arithmetic, the basic operations. Modular multiplicative inverse - The multiplicative inverse in modular operations.Congruence relationFermat's little theorem Modular exponentiation - As title suggests.Good luck!

15 + 13 + (11-9) + (7-5) + (1-3) = 30

How can you increase your height?Is there anyone to debate me on height increase?I grew 2 and a half inches after 26 years of age. Now I'm a little over 30 years old. When I was in my early teen years I had reckoned that my father ain't tall neither my mom and so I will be. Everyone in my family is under 5 ft. My great grandpa was 6.6 ft. When I was in my early 20s I had given up all the hopes to increase my height. I had ultimately accepted that I can't grow even if I pay millions of dollar. I read Motivational books and follow popular motivational personalities which had me inspired to work my ass off to get anything in life.Believe me, your height can increase you need to work on yourself . Get your butt up and start working.What worked for me was growing taller ebook. But due to my ignorance and my whole life desperation to grow taller I did way too much in the beginning. Because in this book, you will learn how you should exercise. How to eat properly and also how to sleep properly and many more things.I was depressed since I was 13 years old, because of my height. So when I have finally bought this ebook, I did everything that you should do to increase your height. But what I did terribly wrong was, that I did everything 3 times as much as I was supposed to do. I quickly burned out and had lower back pain.Thank god, that my mom is cool and smart. Because she was able to talk to me, to take at least a week off. After that I have felt great and I also saw that my height truly increased, even though the increase was truly small.Anyway, to make this long story short. I have continued with the regime, that was explained in the ebook. I did this for 18 months straight. After that, I was only following the dieting part and also holding my posture properly and of course the proper sleeping positions. And my height did not decrease at all. The 2 and a half inches I have gained I also was able to remain till this day. And it has been quite a few years since I have started with all of this and also since I grow those 2,5 inches.With that being said, please if your height is bothering you. Get up and start working on it! You can change it as I did. And also if you decide to try out the program, don't overdo anything or at least in the beginning :)There are also many other examples who did this successfully:Also here is a great read about growing taller[1]:)Footnotes[1] Grow Taller 4 Idiots Review From My Own Experience

I lost 100lbs in 120 days and here is how. The absolute first thing you need to do is take everything you think you know about weight loss and throw it right out the window. The second thing you need to do is not listen to 99.9% of these Doctors,Nutritionist, personal trainers and self proclaimed experts. If we as society are further in advancement of science,technology and modern medicine than ever before why are 76% of us overweight or even obese? I struggled with weight most of my life and I didnt even think I ate that much. I was about 330lbs and every single place I looked or person I spoke to would contradict what someone else had said. For every doctor that said one thing you can find another that will say the opposite. Every month, year, a new best diet, new best weight loss pill, atkins,keto….. stop just stop. I thought about our body, what we put in it and the evolution of mankind and society and it dawned on me. It's our food that's it. It's that simple. You will have a hard time finding early photographs of obese and over weight people. It's very difficult to make this short because I have learned so much about food, what's in it and what it does to us so here is the bare minimum basics. First off you need to research actual caloric intake for your sex,age,weight, and life style. The biggest myth I found that's based on literally no science is that we need 1500–2500 calories a day to survive. Those numbers that have become a “fact" are not true at all. They are based on a government survey done over 50 years ago polling what and how much the average American ate. Do you know how much food has changed in the last 50 years, where it comes from and what goes in it to sustain shelf life. You dont want to know but you need to know. Recent actual studies have shown that people who consume 1200 calories a day over the course of a year showed large mental,physical, and emotional improvements and if they were overweight obviously weight loss. Every thing I will mention is a scrape in the surface but Google these things dig deep past the mainstream “this is how it is” pages and look for recent medical studies etc. There are people that will tell you, you will starve to death on 800 calories or 1000 or 1200. Well that is true if it's 400 calories of French fries and 600 from a burger. Google what 100 calories of skinless chicken breast looks like, or grapes, or almonds, or tuna, or broccoli. I'm over 6ft and 220lbs and can not eat 12 servings of any of that in a day. Angus Barbieri a morbidly obese man under medical supervision did not eat any food for over a year. You heard that right he went 382 days with no food, taking in water, a multi vitamin, potassium supplements, and I think he drank tea. He lost 276lbs suffered no health problems, never put the weight back on and lived a normal healthy life until his natural death decades later. If you are over weight you have stored energy your body will begin to consume, so if you're very over weight you need to take in less. You will hear that its unhealthy or even impossible to lose a lb a day, or you must be dehydrated. Thats also untrue and research will show you why the 3500 calories equals 1lb weight loss theory is incorrect. I lost a little over 100lbs in 120 days. Some days I lost nothing one day i lost 6 but remember I'm a big a guy. If you're a 5ft 8 180lb woman you wont loose weight at the same pace as I did remember i was nearly twice that in weight. You will shed weight fast though and in a healthy manor. Personally for me I have never ate as much or drank as much water as I do now. I never use to even drink water. The bottom line is eat what is natural, do not eat any of these man made inventions and recipes. No lean cuisines no processed foods or liquids. If it didn't 100 percent come out of the ground, grow on tree,bush or was born dont eat it. You might think this sounds boring but the more you learn the more recipes and new foods you'll find. I'll tell you this also if you do this your body will actually detox and become clean of the chemicals that's in it. I tried to drink a lemonade 3 months after eating only natural foods and drinking just water and it tasted like I stuck a straw in a bag of sugar. Your brain will reset I'm telling you it's amazing. You have no idea how good a strawberry taste or an apple. It's amazing what happens and how different you will feel. I know this is a little drawn out and just scratched the surface but it's a starting point. It's going to be more of a mental task than a physical one. You absolutely have to change your lifestyle. If you are over weight you're eating unhealthy and you are more than likely overeating. That's it, you don't have to be spiritual to realize however we all got here it probably was not meant for us to live off of what most of do now. You can find a balance I had tacos last week and I cant give up basic potato chips lol. But I'll tell you the tacos, they dont taste like I remember they arent as good after I feel buzzed and lathargic. I like eating natural now and crave it. Im not a skinny vegitarian type guy either I'm 220lbs, and I feel better than ever. Do the research and make a change. It's worth it, and so are you. I'm almost 40 years old and feel like I'm a kid again.UPDATEI have had some people question my hardwork so I will update this post 1 time. Not to defend myself but to show people who are struggling with weight that it really can be done and don't give up. For those who do understand my tattoos they are a work in progress but I have had none added in over a year never have had any removed. This is 100% me and real. When you take pictures in front of mirrors the image is reversed. Below is a picture of me posted on my IG at a car show Feb 2 with one of my cars I built, as well as a zoomed in screen shot of that post to show you how big i was in Feb Still, one of me in May a few more recent ones as I am still a work in progress. I have photos and videos documenting every step of my story. I also would lik to share a picture of my beautiful better half who embraced a lifestyle change with me and lost 40lbs herself in the same time frame she is so amazing!

First fill the 9 pint jug with water and empty it in the 13 pint jug. You have filled 9 pints. Then fill the 9 pint jug again. This time, empty it in the 5 pint jug until it is filled. The water left in the 9 pint jug would be 4 pints. Now add this in the 13 pint jug. Thus, there are 9+4=13 pints

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