SOLUTION: A man is six times as old as his son. In 7 1/2 years, he will be just three times as old as his son will be then. How old is the man?

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Question 287988: A man is six times as old as his son. In 7 1/2 years, he will be just three times as old as his son will be then. How old is the man?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A man is six times as old as his son.
m = 6s
:
In 7 1/2 years, he will be just three times as old as his son will be then.
m + 7.5 = 3(s+7.5)
m + 7.5 = 3s + 22.5
m = 3s + 22.5 - 7.5
m = 3s + 15
:
replace m with 6s
6s = 3s + 15
6s - 3s = 15
3s = 15
s = 15%2F3
s = 5 yrs is the sons age
:
How old is the man?
m = 6(5)
m = 30 yrs is the old man
:
:
Check solution in the statement
"In 7 1/2 years, he will be just three times as old as his son will be then."
30 + 7.5 = 3(5+7.5)
37.5 = 3 * 12.5
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