Alia is three times as old as her son who is x years old the sum of their ages is 40 years how old Alia and her son?

Let's break down the problem step by step.

1. Alia's age is given as three times her son's age. If her son is \( x \) years old, then Alia's age is \( 3x \).
2. The sum of their ages is 40 years. So, we can express this as:
   \[
   x + 3x = 40
   \]
3. Combine like terms:
   \[
   4x = 40
   \]
4. Solve for \( x \):
   \[
   x = \frac{40}{4} = 10
   \]
   So, the son is 10 years old.

5. Since Alia is three times as old as her son, her age is:
   \[
   3 \times 10 = 30
   \]
   Therefore, Alia is 30 years old.

### Final Answer:
- Alia is 30 years old.
- Her son is 10 years old.

Would you like further details or have any questions?

Here are some related questions:
1. What if Alia were four times as old as her son?
2. How will their ages change in 5 years?
3. If Alia were twice as old as her son, what would their ages be?
4. Can you form an equation if we know their age difference?
5. What if the sum of their ages was 50 instead?

**Tip**: When solving age problems, translating words into algebraic expressions simplifies the process.

Alia is three times as old as her son who is x years old. The sum of their ages is 40 years. How old are Alia and her son?

Find out how to solve the age problem where Alia is three times as old as her son, and the sum of their ages is 40 years. This step-by-step algebra solution shows how to use a linear equation to find their ages. 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