Question

by what number should 1365 be divided to get 31 as quotient and 32 as reminder​

Answer 1

we know that a=bq+r

1365=b*31 +32

1365=31b+32

31b=1365-32

31b=1333

b=1333/31

b=43

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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