Smita was asked to multiply a certain number by 36. She multiplied it by 63 instead and got an answer of 3834 more than the correct one. What was the number to be multiplied?

Options

A. 152
B. 126
C. 142
D. 148

Answer

To solve the problem, let's follow these steps:

1. **Define the variable**: Let the number to be multiplied be \( x \).

2. **Write the correct multiplication**: The correct multiplication that Smita was supposed to perform is \( 36x \).

3. **Write the incorrect multiplication**: The multiplication that Smita actually performed is \( 63x \).

4. **Set up the equation based on the problem statement**: According to the problem, the difference between the incorrect and correct results is 3834. Therefore, we can write the equation:
\[ 63x - 36x = 3834 \]

5. **Simplify the equation**: Combine like terms on the left side:
\[ 27x = 3834 \]

6. **Solve for \( x \)**: To find \( x \), divide both sides of the equation by 27:
\[ x = \frac{3834}{27} \]

7. **Calculate the value**: Now, perform the division:
\[ x = 142 \]

Thus, the number to be multiplied is **142**.

---