Six years ago my son was one-third my age at that time. Six years from now he will be one-half my age at that time. How old is my son?

asked Jun 20, 2020 193k views

2 votes

Six years ago my son was one-third my age at that time.

Six years from now he will be one-half my age at that time.

How old is my son?

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4 votes

m - my age

s - son's age

$s-6=(m-6)/(3)\\s+6=(m+6)/(2)\\\\3s-18=m-6\\2s+12=m+6\\\\m=3s-12\\m=2s+6\\\\3s-12=2s+6\\s=18$

He's 18

Guiweb answered Jun 25, 2020

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