Question

a number when divided by a divisor , leaves a remainder 24 when twice that number is divided by the same divisor the remainder is 15 what is the divisor

Answer 1

Answer:

let the original number be'a'.

let the divisor be 'd'

let the quotient of dividing'a' by 'd'be 'x'

remainder is 24

2a divided by d

dx+24

2a=2(dx+24)or 2a=2dx+48

(2dx+48)=11.

2dx is divided by d

remainder of 11 remainder of dividing 48 by d

when 37 divides 48,the remainder is 11.