Emma is 4x as old as carly and carly is 3x as old as Alanna. The sum if their ages is 64. How old are they 

Let's define the ages of Emma, Carly, and Alanna based on the given information:

1. Let Alanna's age be \( A \).
2. Carly is 3 times as old as Alanna, so Carly's age is \( 3A \).
3. Emma is 4 times as old as Carly, so Emma's age is \( 4 \times 3A = 12A \).

According to the problem, the sum of their ages is 64:

\[
A + 3A + 12A = 64
\]

Simplify the equation:

\[
16A = 64
\]

Now, solve for \( A \):

\[
A = \frac{64}{16} = 4
\]

Now we can find the ages of each:

- **Alanna's age (A):** \( 4 \) years
- **Carly's age (3A):** \( 3 \times 4 = 12 \) years
- **Emma's age (12A):** \( 12 \times 4 = 48 \) years

So, the ages are:
- Alanna: 4 years
- Carly: 12 years
- Emma: 48 years

Would you like further details, or do you have any questions?

### Related Questions
1. If Emma was twice as old as Carly, how would their ages change?
2. What will be the sum of their ages in 5 years?
3. If Alanna’s age doubles, how does that affect the total sum of their ages?
4. How old will each be in 10 years?
5. If Carly’s age is halved, what will the new total age be?

**Tip:** Always check that the relationships between ages hold true when solving similar problems!

Emma is 4x as old as Carly and Carly is 3x as old as Alanna. The sum of their ages is 64. How old are they?

Learn how to solve a real-world algebraic age problem where Emma is 4 times as old as Carly, Carly is 3 times as old as Alanna, and the sum of their ages is 64. This step-by-step guide covers key algebra concepts suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation