Question

Alvin is 14 years older than Elga. The sum of their ages is 56. What is Elga's age?

Answer 1

Answer:

Elga is 32 years old.

Step-by-step explanation:

Let Alvin's age = A

Let Elga's age = E

 

Alvin is 10 years younger than Elga, so A = E - 10

The sum of their ages is 54, so A + E = 54

 

Replace the A in the second equation with E - 10, then solve for E.

A + E = 54 becomes (E - 10) + E = 54

 

Combine like terms

2E - 10 = 54

 

Add 10 to both sides

2E = 64

 

Divide both sides by 2

E = 32