The ages of Edna, Ellie, and Elsa are consecutive integers. The sum of their ages is

108.

Let x = Edna's age

then it follows that (x + 1) is Ellie's age and (x + 2) is Elsa's age

We can now write and equation for the sum of their ages equal to 108:

x + (x + 1) + (x + 2) = 108 simplify the left side

3x + 3 = 108 subtract 3 from both sides

3x = 105 divide both sides by 3

x = 35

Edna is 35, Ellie is 36, and Elsa is 37