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?
I think the son is currently 6 years old. You can plug this answer in and solve the question backwards.
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use systems of equations
the two systems are:
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.
so the son is 5 years old and the father is 45 years old