Question

A boy was asked to multiply a certain number by 53. He multiplied it by 35 and got his answer less than the correct one by 1206. Find number to be multiplied.

• A. 68
• B. 67
• C. 77
• D. None of the above.

Answer 1

The Correct Option is B

To solve this problem, we need to determine the correct number that should have been multiplied by 53, given the incorrect multiplication by 35 led to a result that was 1206 less than the correct one. Let's denote the number to be multiplied as x.

Step 1: Establish the equations based on the problem statement:

If the boy had multiplied correctly, the result would be 53x.

Since he multiplied by 35 instead, the result was 35x.

According to the problem, the incorrect result was 1206 less than the correct result:

53x = 35x + 1206.

Step 2: Solve for x. Subtract 35x from both sides of the equation:

53x - 35x = 1206

which simplifies to:

18x = 1206

Step 3: Solve for x by dividing both sides by 18:

x = \(\frac{1206}{18}\)

x = 67

Therefore, the number to be multiplied is 67. This matches the correct answer, 67, from the options provided.