Alvin is 15 years younger than Elga. The sum of their ages is 35. What is Elga's age?

Elga is 25 and Alvin is 10

Step-by-step explanation:

25 - 10 is 15

25 + 10 = 35

25

Step-by-step explanation:

Let A = Alvin's age

and E = Elga's age

We have two conditions:

(1) A = E - 15

(2) A + E = 35 Substitute (1) into (2)

E - 15 + E = 35 Combine like terms

2E - 15 = 35 Add 15 to each side

2E = 50 Divide each side by 2

E = 25