By what number should 1365 be divided to get 31 as quotient and 32 as remainder?

Asked by Aaryan | 1 year ago |  167

##### Solution :-

Given: Dividend = 1365, Quotient = 31 and Remainder = 32

Let us consider, Divisor as a number y.

To Find: The value of y

As per Euclid's lemma, we have

Dividend = $$(divisor \times quotient) + remainder$$

After substituting the values, we get

1365 = (y × 31) + 32

1365 - 32 = 31y

1333 = 31y

or y =$$\dfrac{ 1333}{31}$$ = 43

So, 1365 should be divided by 43 to get 31 as quotient and 32 as remainder.

Answered by Sakshi | 1 year ago

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