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

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

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
9 months ago
Dear Student

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 *quotient) + remainder
After substituting the values, we get

1365 = (y × 31) + 32
1365 - 32 = 31y
1333 = 31y
or y = 1333/31 = 43
So, 1365 should be divided by 43 to get 31 as quotient and 32 as remainder.

Thanks

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