Question 40

A boy was asked to multiply a certain number by 53. He multiplied it by 35 and got his answer less than the correct one by 1206. Find number to be multiplied.

Solution

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Let number to be multiplied be $$x$$

Number obtained by the boy = $$35x$$

Actual answer = $$53x$$

Difference obtained = $$53x$$ - $$35x$$ = 1206

$$18x$$ = 1206

$$x$$ = 67

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