https://file.aiquickdraw.com/mathbot/file/1729042889392zedtep0m.jpg

This problem involves two siblings whose ages are consecutive integers, and their combined age is 39. We need to find the age of the younger sibling.

### Step-by-step solution:

1. **Define the variable**:
   Let \( x \) represent the age of the younger sibling. Since the siblings' ages are consecutive integers, the older sibling's age will be \( x + 1 \).

2. **Form the equation**:
   The sum of their ages is given as 39. Thus, the equation is:
   \[
   x + (x + 1) = 39
   \]

3. **Solve the equation**:
   Simplify the left-hand side:
   \[
   2x + 1 = 39
   \]
   Subtract 1 from both sides:
   \[
   2x = 38
   \]
   Divide both sides by 2:
   \[
   x = 19
   \]

Thus, the age of the younger sibling is **19**.

Would you like more details on any part of this solution?

### Related questions:
1. What is the age of the older sibling?
2. How would the equation change if the sum of their ages were different?
3. How do consecutive integers relate to algebraic equations?
4. Can you write a general formula for two consecutive integers with a given sum?
5. What other methods could be used to solve this problem?

### Tip:
Whenever dealing with consecutive integers, use \( x \) and \( x+1 \) to represent them. This approach simplifies setting up equations.

The ages of two siblings are consecutive integers. The sum of their ages is 39. How old is the youngest sibling?

Learn how to solve a problem involving consecutive integers where the sum of the siblings' ages is 39. Suitable for students in Grades 6-8, this step-by-step solution covers basic algebra concepts.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation