Question

Suman did a multiplication sum of $104\times 25$ and got the answer. She suddenly realized that the question written on the blackboard was $104\times 52$. So, what will be the difference between her answer and the required answer?
(a) 2588
(b) 2808
(c) 2800
(d) 2890

Answer 1

Hint: We start solving the problem by finding the multiplication (Suman’s answer) of $104\times 25$ first. We then find the multiplication (Required answer) of $104\times 52$. After finding both the multiplication results, we subtract the Suman’s answer from the required answer and make the necessary calculations to get the required answer.

Complete step-by-step solution:
According to the problem, we are given that suman got an answer by making a multiplication sum of $104\times 25$ instead of calculating for the sum $104\times 52$ which was the required sum. We need to find the difference between her answer and the required answer.
Let us first find the multiplication results of $104\times 25$ and $104\times 52$. We then find the difference between both.
Let us first solve for the value of $104\times 25$.
So, we have $104\times 25=2600$.
We have got the Suman’s answer as 2600.
Now, we solve for the value of $104\times 52$.
So, we have $104\times 52=5408$.
We have got the required answer as 5408.
Let us find the difference between Suman’s answer and the Required answer.
So, we have $5408-2600=2808$.
$\therefore$ We have found the difference of the Suman’s answer and the Required answer as 2808.
The correct option for the given problem is (b).

Note: We should not make calculation mistakes while making multiplication and subtraction operations in this problem. We can also make the difference in the opposite way i.e., subtraction required answer from Suman’s answer. We get the same value but with a negative sign. Since the given options have only positive numbers, we choose to subtract in this way. Similarly, we can expect problems with the multiplication of 3-digit numbers.