Maggie's Brother is 3 years younger than twice her age. The sum of their ages is 24. How old is Maggie

Let's define the ages of Maggie and her brother using variables:

- Let \( M \) represent Maggie's age.
- Her brother is 3 years younger than twice her age, so his age is \( 2M - 3 \).

The sum of their ages is 24. Therefore, the equation is:
\[
M + (2M - 3) = 24
\]

Now, let's solve for \( M \):

\[
M + 2M - 3 = 24
\]
\[
3M - 3 = 24
\]
\[
3M = 27
\]
\[
M = 9
\]

So, Maggie is 9 years old.

Would you like further details or have any questions?

Here are 5 related questions:
1. How old is Maggie's brother?
2. If Maggie were 5 years older, how would the equation change?
3. Can you solve for Maggie's brother's age in terms of a different relationship, like if he were 5 years younger than twice her age?
4. What would happen to the equation if the sum of their ages were 30 instead of 24?
5. How could you set up an equation for two siblings with different age relations?

**Tip:** When dealing with word problems, define variables for unknowns and translate the relationships into equations step by step.

Maggie's Brother is 3 years younger than twice her age. The sum of their ages is 24. How old is Maggie?

Learn how to solve an age word problem involving Maggie and her brother. Maggie's brother is 3 years younger than twice her age, and the sum of their ages is 24. This problem covers key algebraic concepts and linear equations, suitable for students in Grades 6-8.

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