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# What is the answer if a man is three times as old as his son four years ago he was four times as old as his son How old is the son during that time?

Updated: 9/27/2023

Wiki User

11y ago

Best Answer

Four years ago the son was 8, and the father 32. Now the son is 12, and the dad 36.

To solve this problem, you should use the substitution method.

The current age of the father(F) and the son(S) are represented by the equation F=3S.

The mans age minus four years(F-4) is four times the sons minus four years(S-4), so the equation is (F-4)=4x(S-4).

The next step is to simplify equation 2.

(F-4)=4x(S-4) becomes F-4=4S-16, and then F=4S-12.

Now you substitute equation one into equation two.

F=3S, F=4S-12

3S=4S-12

Simplify to find the current age of the son:

0=1S-12

12 = S

Wiki User

11y ago
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