SOLUTION: A father's age is 13 times that of his son. In 10 years, the son's age will be one-third that of his father's. What are their current ages?
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Question 912989: A father's age is 13 times that of his son. In 10 years, the son's age will be one-third that of his father's. What are their current ages? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! let f = father's present age
let s = son's age
:
Write an equation for each statement,
:
"A father's age is 13 times that of his son."
f = 13s
" In 10 years, the son's age will be one-third that of his father's."
s + 10 + (f + 10)
get rid of the fraction, multiply both sides by 3
3(s+10) = f + 10
3s + 30 = f + 10
Replace f with 13s (from the 1st statement)
3s + 30 = 13s + 10
30 - 10 = 13s - 3s
20 = 10s
s = 20/10
s = 2 yrs is the son's age
:
I'll let you find the father's age, check your solutions in the 2nd statement
