Question

4 times the age of B exceeds the age of A by 20 years, and one-third the age of A exceeds the age of B by 2 years. Find their ages. ​

Answer 1

A is 84 yo

B is 26 yo

Explanation:

We know that 1) 4B=A+20 and 2) 1/3 A=B+2

Using equation 1, we get that A=4B-20. We can substitute that into equation 2, and we get 1/3(4B-20)=B+2.

So 4/3B-20/3=B+2

If we put the Bs together we get: 4/3B-B=2+20/3

1/3B=26/3

B=26 years old

A=84 years old