Question

The age of a father is 2 less than 7 times the age of his son. In 3 years, the sum of their ages will be 52. If the son’s present age is s years, which equation models this situation?

Answer 1

Hello,

Let's assume f the age of the father,
s the age of the son.

The age of a father is 2 less than 7 times the age of his son ==> f=7s-2 (1)


In 3 years, the sum of their ages will be 52 ==>(f+3)+(s+3)=52 (2)

(2)==>f+s+6=52
==>f+s=46 (3)
(3) and (1) ==>7s-2+s=46
==>8s=48
==>s=6
f=46-6=40