Question

Alvin is 6 years older than Elga. The sum of their ages is 106 . What is Elga's age?

Answer 1

Elga's age is 50, and Alvin's age is 56. So, the sum of their ages is 106.

Answer 2

Let the age of Elga be x.

Age of Alvin = x + 6

Sum of ages = 106

x + x + 6 = 106

2x + 6 = 106

2x = 106 - 6

2x = 100

x = $\frac{100}{2}$ 

x = 50

Hence, Elga is 50 years old.