Question

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

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Solution

## Given thatThe student multiplied the number $7236$ by$65$ instead of $56$We need to find outWe need to find out by how much was his answer greater than the correct answer?SolutionAs per the given conditionsThe student had to multiply$7236$ by $56$So$7236x56——\left(i\right)$ which is the correct oneBut the student multiplied by $65$So $7236x65———\left(ii\right)$ which is the wrong oneThus 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$=7236\left(65-56\right)\phantom{\rule{0ex}{0ex}}=7236\left(9\right)\phantom{\rule{0ex}{0ex}}=7236x9\phantom{\rule{0ex}{0ex}}=65124$Hence, the first answer was greater than the second one by the value $65124.$

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