x = Edna's age
x + 1 = Ellie's age
x + 2 = Elsa's age
the sum of their ages = 114
Let's set all of their ages equal to 114
x + x + 1 + x + 2 = 114
Combine like terms
3x + 3 = 114
Subtract 3 from both sides
3x = 111
Divide both sides by 3
x = 37
Edna's age = x = 37 years old
Ellie's age = x + 1 = 37 + 1 = 38 years old
Elsa's age = x + 2 = 37 + 2 = 39 years old