Here's a non-algebraic approach to the problem:
If Bobs current age were 8 then 8 years ago he would be zero, so he has to be older than 8 or at least 9 years now. So assume 9 and 36 -- 8 years ago would make 1 and 28 which is 28 times and not what were looking for.. 10 and 40 ---- 8 years ago would make 2 and 32 which is 16 times not what were looking for... try 11 and 44-- 8 years ago would make 3 and 36-- bingo 12 times- So, Jason is 44 and Bob is 11 years old.
Algebraically we have:
x for Bobs age and
4x for Jason
So 4x = x
But 8 years ago Jason was 12 times older so
4x - 8 = 12(x-8)
4x - 8 = 12x - 96
88 = 8x
x = 11 So Bob is currently 11 years old and Jason is 4(11) or 44 years old.
Sunday, March 16, 2008
Age Problem 2 Solution
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wow what an age difference
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