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

Given that

The student multiplied the number $7236$ by$65$ instead of $56$

We need to find out

We need to find out by how much was his answer greater than the correct answer?

Solution

As per the given conditions

The student had to multiply$7236$ by $56$

So$7236x56——\left(i\right)$ which is the correct one

But the student multiplied by $65$

So $7236x65———\left(ii\right)$ which is the wrong one

Thus the difference between the correct and the incorrect value can be calculated by subtracting the two above obtained equations (i) and (ii). That is

$7236x65–7236x56$

Taking out $7236$ as the common factor

$$\begin{gathered} =7236(65-56) \\ =7236\left(9\right) \\ =7236x9 \\ =65124 \end{gathered}$$

Hence, the first answer was greater than the second one by the value $65124.$