On dividing 15968 by a certain number, the quotient is 89 and the remainder is 37. Find the sum of the digits of the divisor.

17

Let's denote the divisor as D.

According to question,

When 15968 is divided by $D$, the quotient is 89, and the remainder is 37.

15968 = 89D + 37

89D = 15968−37

89D=15931

D = 179 ​

So, divisor is = 179

Now, find the sum of the digits of the divisor:

1 + 7 + 9

= 17