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

1.	By what number should 1365 be divided to get 31 as quotient and 32 as remainder?
Answer» 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 = 1333/31 = 43 So, 1365 should be divided by 43 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?

Answer»

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 = 1333/31 = 43

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