SOLUTION: A MAN IS THREE TIMES AS OLD HIS SON. fOUR YEARS AGO HE WAS FOUR TIMES AS OLD HIS SON WAS AT THE TIME. HOW OLD IS THE SON.

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Question 157619: A MAN IS THREE TIMES AS OLD HIS SON. fOUR YEARS AGO HE WAS FOUR TIMES AS OLD HIS SON WAS AT THE TIME. HOW OLD IS THE SON.
Found 2 solutions by unajan, Fombitz:
Answer by unajan(1) About Me  (Show Source):
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let the man be M years old, his son S years old.
1.M=3S
Four years ago, the man was (M-4) and his son (S-4).
2.%28M-4%29=4%28S-4%29
We can expand and simplify eq. 2,
2.M-4=4S-16
2.M=4S-12
Substitute eq. 1 into eq. 2 and solve for S.
2.M=4S-12
3S=4S-12
-S=-12
highlight%28S=12%29
From 1,
M=3S
M=3%2812%29
highlight%28M=36%29
The man is 36 years old and his son 12 years old (3x12=36).
Four years ago, the man was 32 and his son 8 (4x8=32).
The answers check out.