A father is 9 times as old as his son. In three years, the father will be 6 times as old as his son.

How old is the son?

Guest Jan 22, 2021

#1**+3 **

I think the son is currently 6 years old. You can plug this answer in and solve the question backwards.

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Vanilla Jan 22, 2021

#3**+1 **

use systems of equations

the two systems are:

f=9s

f+3=6(s+3)

steps:

1. expand 6(s+3) to get 6s+18

2. substitute f in terms of s (and we know that f=9s, so then the second equation becomes 9s+3=6s+18

3. now we know how to solve. add -6s to both sides, add -3 to both sides, and finally divide both sides by 3.

We get:

f=45, s=5

**so the son is 5 years old** and the father is 45 years old

KitSoundwave Jan 22, 2021