The age of Sohan Lal is four times that of his son Amit. If the difference of their ages is 27 years, find the age of Amit.

Options

A. 9 Years
B. 10 Years
C. 11 Years
D. 12 Years

Answer

To solve the problem, we will follow these steps:

1. **Define the Variables**:
Let the age of Amit be \( x \) years. Since Sohan Lal's age is four times that of Amit, we can express Sohan Lal's age as \( 4x \) years.

2. **Set Up the Equation**:
According to the problem, the difference between Sohan Lal's age and Amit's age is 27 years. We can write this as:
\[ 4x - x = 27 \]

3. **Simplify the Equation**:
Simplifying the left side of the equation gives:
\[ 3x = 27 \]

4. **Solve for \( x \)**:
To find the value of \( x \), divide both sides of the equation by 3:
\[ x = \frac{27}{3} \]
\[ x = 9 \]

5. **Conclusion**:
The age of Amit is \( 9 \) years.