Question

Alvin is 15 years younger than Elga. The sum of their of their ages is 43. What is Elga's age?

Answer 1

• Elga is 29
• Alvin is 14

Explanation:

You want Elga's age, given that Alvin is 15 years younger and the sum of their ages is 43.

Setup

Let e represent Elga's age. Then (e-15) is Alvin's age, and the sum of their ages is ...

e +(e -15) = 43

Solution

2e = 58 . . . . . . . add 15

e = 29 . . . . . . . divide by 2

Elga's age is 29.

e -15 = 29 -15 = 14 . . . . Alvin's age