SOLUTION: Two years ago, Anton was a three times as old as his sister, Nathalie. In 4 years, he will be only twice his sister's age. Find their present ages.

Question 253038: Two years ago, Anton was a three times as old as his sister, Nathalie. In 4 years, he will be only twice his sister's age. Find their present ages.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
(a-2)=3*(n-2)
(a+4)=2*(n+4)
Multiply out to remove parentheses.
a-2 = 3 n-6
a+4 = 2 n+8
in the first add 6 to both sides
a+4 = 3n
a = 2 n+4
How to continue?
Either solve the first for a and then set the two a's equal
OR substitute 2n+4 for a in the first
a=20
n=8

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