Make a chart to solve the problem. Jack's father is three times as old as Jack. Five years ago, the sum of their ages was 34. How old is Jack's father now? Answer:

Certainly! Let's create a chart to solve the problem step by step. ### Problem Statement: - **Current Ages:** - Jack's father is three times as old as Jack. - **Five Years Ago:** - The sum of their ages was 34. - **Objective:** - Find Jack's father's current age. ### Chart to Solve the Problem | **Person** | **Current Age** | **Age 5 Years Ago** | |-------------------|------------------|---------------------| | Jack | \( J \) | \( J - 5 \) | | Jack's Father | \( F = 3J \) | \( F - 5 = 3J - 5 \)| ### Step-by-Step Solution 1. **Define Variables:** - Let \( J \) = Jack's current age. - Therefore, Jack's father's current age \( F = 3J \). 2. **Calculate Ages Five Years Ago:** - Jack's age five years ago: \( J - 5 \). - Jack's father's age five years ago: \( 3J - 5 \). 3. **Set Up the Equation Based on the Given Information:** - The sum of their ages five years ago was 34. \[ (J - 5) + (3J - 5) = 34 \] 4. **Simplify the Equation:** \[ J - 5 + 3J - 5 = 34 \] \[ 4J - 10 = 34 \] 5. **Solve for \( J \):** \[ 4J = 34 + 10 \] \[ 4J = 44 \] \[ J = \frac{44}{4} \] \[ J = 11 \] 6. **Find Jack's Father's Current Age:** \[ F = 3J = 3 \times 11 = 33 \] ### **Answer:** Jack's father is **33 years old** now.