division

A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?




Answer:

let the number be "n"
n/q = p (24/q) = (pq + 24)/q -------------(1)


Therefore,  2n/q = 2.(pq + 24)/q   ------------(2)

or, 2n/q = 2p + 48/q

given, 48/q has a Remainder of 11.

or, q = 48 - 11 = 37