Question

Abraham is 5 years older than Layette. In 7 years the sum of their ages will be 81. How old is Abraham now?

Answer 1

Abraham is 36 years old

Explanation:

Let's use L for Layette's age and A for Abraham's age.

We have:

A = L + 5

In 7 years, Layette's age will be L + 7 and Abraham's age will be L + 5 + 7 or L + 12

We have

(L + 7) + (L + 12) = 81

2L + 19 = 81

2L = 62

L = 31 years old

We know Abraham is 5 years older than Layette. How old is Abraham now?

We take

31 + 5 = 36 years old

So, Abraham is 36 years old.