SOLUTION: Five years ago, John's age was half of the age he will be in 8 years. How old is he now?

Question 208361: Five years ago, John's age was half of the age he will be in 8 years. How old is he now?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let x be john's age now.
five years ago, john's age was x-5
eight years from now, john's age will be x+8
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Five years ago, John's age was half of the age he will be in 8 years.
this means that (x-5) = (x+8)/2
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solving for x, we get:
2 * (x-5) = x + 8
which becomes:
2x - 10 = x + 8
which becomes:
x = 18
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john is 18 years old now.
5 years ago john was 13
8 years from now john will be 26
13 = 1/2 * 26
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