SOLUTION: In 17 years a father will be twice as old as his son, whose age at the present time is one third of his father's age. How old is the father now?

Question 235938: In 17 years a father will be twice as old as his son, whose age at the present time is one third of his father's age. How old is the father now?
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 present age
:
Write an equation for each statement:
:
"In 17 years a father will be twice as old as his son,"
f + 17 = 2(s + 17)
f + 17 = 2s + 34
f = 2s + 34 - 17
f = 2s + 17
:
" whose age at the present time is one third of his father's age."
s = f
or we can say
f = 3s
:
How old is the father now?
;
Easy to find s first, replace f with 3s in the 1st equation
3s = 2s + 17
3s - 2s = 17
s = 17 yrs is son's present age
then
3(17) = 51 yrs is father's present
;
;
Check solution in the statement
In 17 years a father will be twice as old as his son,"
51 + 17 = 2(17 + 17)
68 = 2(34)
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