A boy was asked to multiply a no. by 53. The boy made a mistake by multiplying the no. by 35 instead of 53 and got the answer 1206 less then the right answer. The no to be multiplied was :

Options

A. 62
B. 67
C. 74
D. 76

Answer

To solve the problem step by step, let's denote the unknown number as \( x \).

### Step 1: Set up the equation
The boy was supposed to multiply the number \( x \) by 53, but instead, he multiplied it by 35. The difference between the correct answer and the incorrect answer is given as 1206. We can express this mathematically as:
\[ 53x - 35x = 1206 \]

### Step 2: Simplify the equation
Now, simplify the left side of the equation:
\[ (53 - 35)x = 1206 \]
\[ 18x = 1206 \]

### Step 3: Solve for \( x \)
To find \( x \), divide both sides of the equation by 18:
\[ x = \frac{1206}{18} \]

### Step 4: Perform the division
Now, calculate \( \frac{1206}{18} \):
\[ x = 67 \]

### Conclusion
The number to be multiplied is \( x = 67 \).