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in this video we're going to focus on solving age-related word problems like the one you see on the board so sally is three times as old as john eight years from now sally will be twice as old as john how old is john so there's two things you need to be concerned with the present and the future so i'm gonna put sally and john so sally's present age we'll call it s john's present age we'll call it j in the future that is eight years from now sally her age will be s plus eight she's gonna be eight years older and john's age will be j plus 8. so now we need to write an equation for the present and the future so at the present sally is three times as old as john so that means s is equal to 3j now eight years from now that is the future sally will be twice as old as sean so s plus eight that's sally's age in the future and she's gonna be two times john's age which john in the future he's gonna be j plus eight so these are the two equations that we have and we have two variables whenever you have two variables you need two equations to solve for those two variables so let's use substitution let's replace s with 3j since s is equal to 3j so we're going to have 3j plus 8 is equal to 2 times j plus eight on the right side let's distribute the two so it's going to be two j plus sixteen if we subtract both sides by two j let's make some space 3j minus 2j is j so it's going to be j plus 8 is equal to sixteen and if we subtract both sides by eight we will get john's age so john is eight years old now let's find sally's age this is john's present age by the way so john is eight sally is three times as old as john so eight times three her present age is 24. now what about in the future eight years later john will be eight years older eight plus eight is sixteen and sally will be eight years older twenty four plus eight is thirty soon so as you can see it in the present sally is three times as old as john 8 times 3 is 24 but in the future she's going to be twice as old as john 16 times 2 is 32 so everything makes sense which means that the final answer is eight this is john's age at the present here's another one you could pause the video and work on it if you want to so kim is six years more than twice timothy's age two years ago kim was three times as old as timothy how old was kim two years ago so we have the present to deal with and we also...