Question

Adam’s age is 4 years less than twice Blanca’s age. The sum of their ages is 26. How old is Adam?

Answer 1

Let Adam’s age be A and Blanca’s age be B.

A=2B-4, so 2B=A+4 (add 4 to each side), -A+2B=4 (subtract A from each side),

A+B=26, add the two equations:

-A+2B+A+B=4+26=30, so 3B=30 and B=30/3=10.

Adam’s age is therefore 26-10=16.