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Raju's father's age is 5 years more than...

Raju's father's age is 5 years more than three times Raju's age. Find Raju's age.if his father is 44 years old.

A

Raju is 15 years old

B

Raju is 14 years old

C

Raju is 13 years old

D

Raju is 16 years old

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will follow the reasoning presented in the video transcript: ### Step-by-Step Solution: 1. **Define the variable**: Let Raju's age be represented by \( x \). 2. **Set up the equation**: According to the problem, Raju's father's age is 5 years more than three times Raju's age. We can express this as: \[ \text{Father's age} = 3x + 5 \] 3. **Use the information given**: We know that Raju's father's age is 44 years. Therefore, we can set up the equation: \[ 3x + 5 = 44 \] 4. **Solve for \( x \)**: First, we need to isolate \( 3x \). We can do this by subtracting 5 from both sides of the equation: \[ 3x = 44 - 5 \] Simplifying this gives: \[ 3x = 39 \] 5. **Divide to find \( x \)**: Now, we divide both sides by 3 to solve for \( x \): \[ x = \frac{39}{3} \] Simplifying this gives: \[ x = 13 \] 6. **Conclusion**: Therefore, Raju's age is \( 13 \) years.
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