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To solve the problem of finding the ages of Edna, Ellie, and Elsa, given that their ages are consecutive integers and their sum is 114, let's define their ages as follows:

Let the youngest age be \( x \). Then the ages can be defined as:
- Edna: \( x \)
- Ellie: \( x + 1 \)
- Elsa: \( x + 2 \)

Now, the sum of their ages is given by:

\[
x + (x + 1) + (x + 2) = 114
\]

Simplify the equation:

\[
3x + 3 = 114
\]

Subtract 3 from both sides:

\[
3x = 111
\]

Divide by 3:

\[
x = 37
\]

So, their ages are:
- Edna: 37 years
- Ellie: 38 years
- Elsa: 39 years

From youngest to oldest, their ages are 37, 38, and 39 years old.

Would you like more details or have any questions?

Here are some related questions:
1. How would the ages change if the sum was a different number?
2. What if their ages were not consecutive integers but had a specific difference?
3. Can you find the sum if their ages were squared?
4. How would you solve if you only knew the average age?
5. What if the ages were consecutive even numbers instead?

**Tip:** Consecutive integers are numbers that follow each other in order without gaps; they are useful for solving age-related word problems by setting up equations.

The ages of Edna, Ellie, and Elsa are consecutive integers. The sum of their ages is 114. What are their ages?

Solve a problem where the ages of Edna, Ellie, and Elsa are consecutive integers and their sum is 114. Learn how to set up an equation and solve for the ages using algebraic methods. Suitable for middle school students.

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