Question

The age of a father is two less than seven times the age of his son in two years the sum of their ages will be 57 if the son's present ages S years which equation models the situation

Answer 1

`f = 7s -2`

`f + s =53`

Explanation:

Given

Let

f = Father's age

s = Son's age

We'll solve this question, while reading through the instructions

From the first statement;

f is 2 less than 7 times s.

This means

`f = 7s -2`

In two years time, the father will be f +2 and the son will be s + 2

So, their sum is:

`(f+2) + (s + 2) = 57`

`f + 2 + s + 2 =57`

Collect like terns

`f + s =57-2-2`

`f + s =53`

So, the equations are:

`f = 7s -2`

`f + s =53`