Answer:
24 years old.
Explanation:
Let's say that Elga's age is x years old. Then Alvin's age would be 11 years older than Elga, or x + 11 years old.
We know that the sum of their ages is 59 years old, so we can write an equation:
x + (x + 11) = 59
Simplifying the left side of the equation:
2x + 11 = 59
Subtracting 11 from both sides:
2x = 48
Dividing both sides by 2:
x = 24
Therefore, Elga's age is 24 years old.