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Question

On dividing 59761 by a certain number , the quotient is 189 and the remainder is 37. Find the divisor.

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Solution

In the form :

dividend = divisor * quotient + remainder

We have, x is the unknown divisor.

59761 = x * 189 + 37

59761 - 37 = x * 189

59724 = x * 189

59724 ÷ 189 =316

The divisor is 316

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