Ans-divisor is 37

let the number be X and divisor be D

then X=D*q+24 --------------------(1)Euclid division lemma

2X=2[D*q+24] ------------------muliplying by 2

=D*2q + 48

=D*2q + 37 +11

if we take D=37 then, 37 can be taken common from first 2 terms

2X =37[2q+1] + 11

=37[Q] + 11 2q+1=Q (say)

which is in accordance with 2nd condition.