SOLUTION: Vanda’s present age is three times that of his son. Nine years ago he was five times as old as his son. What are their present ages.?

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Question 1151617: Vanda’s present age is three times that of his son. Nine years ago he was five times as old as his son. What are their present ages.?
Answer by MathLover1(20850) About Me  (Show Source):
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let Vanda’s present age be x and his son's present age be y
if Vanda’s present age is three+times that of his son,
x=3y........eq.1
if 9 years ago he was fivetimes as old as his son, we have

x-9=5%28y-9%29
x=5y-45%2B9
x=5y-36........eq.2
from eq.1 and eq.2 we have
3y=5y-36
36=5y-3y
36=2y
y=18
go back to
x=3y........eq.1, substitute y
x=3%2A18
x=54
answer: Vanda’s present age is 54 and his son's present age is 18