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

• 37
  let p is divisor,N is the no.and k is q quotient.
  N=pk+24....(1)
  now let the no.is 2N and quotient is m
  2N=pm+11....(2)
  2(1)-(2)
  p(2m-k)=37
  since 37 is a prime no.
  p=13 and (2m-k)=1
  let,m=1
  k=1
  from(1)
  N=(37*1)+24=61
  2N=122
  and divisor is 37 and remainder is 11
  
  
• 11 years agoHelpfull: Yes(4) No(1)