Problem Statement:
"When my father was 31, I was 8. Now he is twice as old as me. How old am I?"
Solution:
#### Step 1: Understand the relationship between the ages.
- When your father was 31 years old, you were 8 years old.
- This means the age difference between you and your father is:
\[
31 - 8 = 23 \text{ years}
\]
So, your father is always 23 years older than you.
#### Step 2: Set up the current age relationship.
- Let your current age be \( x \).
- Since your father is always 23 years older than you, his current age is \( x + 23 \).
#### Step 3: Use the given condition.
- The problem states that your father is now twice as old as you.
- This can be written as:
\[
x + 23 = 2x
\]
#### Step 4: Solve the equation.
- Rearrange the equation to isolate \( x \):
\[
x + 23 = 2x
\]
\[
23 = 2x - x
\]
\[
23 = x
\]
#### Step 5: Verify the solution.
- If you are 23 years old, then your father's age is:
\[
x + 23 = 23 + 23 = 46
\]
- Check if your father is twice as old as you:
\[
46 = 2 \times 23
\]
This is true.
Final Answer:
\[
\boxed{23}
\]
Parent Tip: Review the logic above to help your child master the concept of fun math answers.
