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A father tells his son, "I was of your p...

A father tells his son, "I was of your present age when you were born." If the father is now 36 years of age, how old was the boy 5 years ago?

A

13

B

15

C

17

D

20

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we can follow these instructions: 1. **Understand the relationship between the father and son's ages**: The father states that he was the same age as the son is now when the son was born. 2. **Define the variables**: - Let the current age of the son be \( x \). - Since the father is currently 36 years old, we can express the father's age when the son was born as \( 36 - x \). 3. **Set up the equation**: According to the father's statement, when the son was born, the father's age was equal to the son's current age. Therefore, we can set up the equation: \[ 36 - x = x \] 4. **Solve for \( x \)**: - Rearranging the equation gives: \[ 36 = x + x \] \[ 36 = 2x \] - Dividing both sides by 2: \[ x = \frac{36}{2} = 18 \] 5. **Determine the son's current age**: The son is currently 18 years old. 6. **Calculate the son's age 5 years ago**: - To find the son's age 5 years ago, subtract 5 from his current age: \[ 18 - 5 = 13 \] 7. **Conclusion**: The son's age 5 years ago was 13 years. ### Summary of the Solution: - The current age of the son is 18 years. - The son's age 5 years ago was 13 years.

To solve the problem step by step, we can follow these instructions: 1. **Understand the relationship between the father and son's ages**: The father states that he was the same age as the son is now when the son was born. 2. **Define the variables**: - Let the current age of the son be \( x \). - Since the father is currently 36 years old, we can express the father's age when the son was born as \( 36 - x \). ...
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