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Solving Equations ax = b and (x/a) = b by Rearranging Terms

A student was...

Question

A student was asked to multiply a given number by 4/5 . By mistake, he divided the given number by 4/5. His answer was 36 more than the correct answer. What was the given number ?

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Solution

Let the no be x.

Difference=36

(5x/4 - 4x/5)=36
(25x-16x)/20=36
x=(20*36)/9
x=80

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