# SOLUTION: I'm 4o years old. My daughter is 9. How old will I be when I'm 3 times older than she is. I'm working on a formula that looks like this: 3x=x+31. 31 being how old I was at her

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 Question 625248: I'm 4o years old. My daughter is 9. How old will I be when I'm 3 times older than she is. I'm working on a formula that looks like this: 3x=x+31. 31 being how old I was at her birth. I'm interested in seeing how this formula is written, as well as how to solve it. Thanks.Found 2 solutions by Alan3354, jim_thompson5910:Answer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website!I'm 4o years old. My daughter is 9. How old will I be when I'm 3 times older than she is. I'm working on a formula that looks like this: 3x=x+31. 31 being how old I was at her birth. I'm interested in seeing how this formula is written, as well as how to solve it. ------------- The difference will always be 31 (30 or 32 sometimes, depending on bdays) ------ 3 times older = 4 times as old. There's no integer solution for 4 times and 31. m = mother's age d = daughter's age ---- m = d + 31 m = 4d --- 4d = d + 31 3d = 31 d = 10 1/3 yrs m = 41 1/3 yrs ------- Same for 3 times, no integer solution. 31 is a prime number, so it doesn't work out. -------- If the difference is, eg, 32 yrs, you can have several multiples with integers. Answer by jim_thompson5910(28598)   (Show Source): You can put this solution on YOUR website!Let x = number of years that pass from now So in x = 1 year, you will be 40+x = 40+1 = 41 years old and she will be 9+x = 9+1 = 10 years old So in general, after x years pass, you will be 40+x years old and she will be 9+x years old. You want to know how long it will take for you to be 3 times as old as her in x years. So this means that (Your age in x years) = 3*(Her age in x years) 40+x = 3*(9+x) So the equation is 40+x = 3*(9+x) ------------------------------------------------------- Now let's solve 40+x = 3*(9+x) 40+x = 3*(9+x) 40+x = 27+3x x = 27+3x-40 x-3x = 27-40 -2x = -13 x = -13/(-2) x = 13/2 x = 6.5 Since this result is not a whole number, this means that you'll never be 3 times as old as her. -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------