Question

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

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: 43 is the number to divide 1365 to obtain 31 as quotient and 32 as remainder

Given: 1365 should be divided by a number to get quotient as 31 and remainder as 32.

Let us assume that, 1365 is a number which is divided by a number x.

We know that the Quotient is equal to 31 and remainder is equal to 32.

$\begin{array}{c}{1365=31 x+32} \\ {1365-32=31 x} \\ {1333=31 x} \\ {x=\frac{1331}{31}} \\ {x=43}\end{array}$

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