SOLUTION: 4 years ago i was half as old as my father. Six years hence, I will be three fifths as old as he. How old am I now?

Question 1146172: 4 years ago i was half as old as my father. Six years hence, I will be three fifths as old as he. How old am I now?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Ages s and f

subst into secnd eq

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Is "i" and "I" the same person?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Ages now:
son x
father y

Ages 4 years ago:
son x-4
father y-4

Ages 6 years from now:
son x+6
father y+6

Using those expressions for the numbers in the problem, write two equations that reflect the given information:

the son's age 4 years ago was 1/2 the father's age 4 years ago:

the son's age 6 years from now will be 3/5 the father's age 6 years from now:

That gives you two linear equation in x and y; solve them by your favorite method.

Note that the problem only asks for the son's age. Since you don't need to find the father's age (y), choose a method that solves for x first.
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