Question

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

Answer 1

We know that,

Dividend = Divisor × quotient + remainder.

Given :-

Dividend = 1365

Quotient = 31

Remainder = 32

Divisor = ?

➡ 1365 = Divisor × 31 + 32

➡ Divisor × 31 = 1365 - 32

➡ Divisor × 31 = 1333

➡ Divisor = 1333/31

➡ Divisor = 43.

Answer :- 1365 should be divided by 43 to get 31 as quotient and 32 as remainder.

Hope it will help you !!!

Answer 2

Answer:

let the required number be x .

according to division algorithm,

dividend = divisor × quotient + remainder

=> 1365 = 31x + 32

=> 1365 - 32 = 31x

=> 1333 = 31x

=> x = 1333/31

= 43.

so , the required number is 43

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