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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Hint: Start by multiplying 7236 by 65, followed by multiplying 7236 by 56. Find the difference between the two results, and the difference is the answer to the above question.

$\text{Wrong result}=7236\times 65$
$\text{Correct result}=7236\times 56$
$\text{Wrong result}-\text{Correct result}=7236\times 65-7236\times 56$
$\text{Wrong result}-\text{Correct result}=7236\left( 65-56 \right)$
$\Rightarrow \text{Wrong result}-\text{Correct result}=7236\times 9=65124$