Question

A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer.

Answer 1

Hint: Here, we are required to find the increase in the answer because of the wrong number taken by the student. So, we will subtract the original answer from the wrong answer (greater) to determine the increase in the answer a student made.

Complete step by step Answer:
We need to provide the increase that a student made by replacing the multiplication factor.
We are given a number 7236 with which a student multiplied the wrong number.
A student multiplied it with 65 in place of 56 i.e., he was required to find the multiplication of 7236 with 56 but he mistakenly multiplied 7236 with 65.
Therefore, we can write this situation in terms of the equation as:
7236$ \times $65 - the wrong answer that the student attained (greater one)
7236$ \times $56 - the correct answer the student needed to find (smaller one)
Hence, to determine the increase in the wrong answer from the correct answer, we will subtract the correct answer from the incorrect(greater) answer.
$ \Rightarrow $(7236*65) – (7236*56) = the increase in the answer
Now, taking the factor 7236 common in the above equation, we get
$ \Rightarrow $7236 (65 - 56) = 7236 (9) = 65124
Therefore, his answer was greater by 65124 than the original answer.

Note: In such questions where we need to do a replacement within the obtained value with the required value, we need to be careful with the words i. e., we need to take care of what is the correct value and what needs to be replaced. Such questions can be tricky and you may get confused.