the numbers 272738 and 232342,when divided by n, a 2 digit number leave a remainder 13 and 17 respectively.Find the sum of digits of n?

• the two numbers can be written as
  272738 = n*a + 13 .......(i)
  232342 = n*b + 17........(ii) , where n is the two digit number
  a,b are the divisors
  (i) => n*a = 272738-13 = 272725
  (ii) =>n*b = 232342-17 = 232325
  
  the last two digit number of the above two numbers is 25
  and it is only possible for n=25
  i,e, 272725 = 10909 * 25
  232325 = 9293 * 25
  so the answer is 25
  and the sum of digits will be 2+5 = 7
  
  7 is the answer
  
  
• 9 years agoHelpfull: Yes(61) No(5)
• We have to find the h.c.f of both
  1.272738-13
  2.232325-17
  H.c.f is 25
  
  Ans is 7
• 9 years agoHelpfull: Yes(15) No(0)
• @deepika , your hcf is wrong
  232325 when divided by 75 the remainder is not zero.
• 9 years agoHelpfull: Yes(3) No(1)
• ans:12
  272738-13=272725
  232342=17=232325
  H.C.F (232325,272725)=75=N
  SUM OF DIGITS OF N=(7+5)=12
• 9 years agoHelpfull: Yes(0) No(17)
• 25
  272738-13=272725
  232342-17=232325
  both divisible by 25 so n=25
• 9 years agoHelpfull: Yes(0) No(0)
• the no is 25 and the sum of the digit is 7
  
• 9 years agoHelpfull: Yes(0) No(1)
• @bhaskar how did u guess exact that it is only divisible by 25?
• 9 years agoHelpfull: Yes(0) No(0)
• @himanshu...
  divisibility rule of 25..if last 2 numbers are 00 or 25,it is divisible by 25
  
• 9 years agoHelpfull: Yes(0) No(0)
• Instead of so much calculation simple way to do is given total 18 pencil of which cost of white is 1rs more than brown.. So try to proceed as total no of pencil should be 18 nd cost of white should be 1 rs more than brown ie 5*8=40 we need 60rs more that can be 6*10=60.. Here we get cost of white rs 6 nd brown 5 nd quantity of white 10 nd that of brown 8.so cost of 1 white pen is 10 nd quantity is 6
• 8 years agoHelpfull: Yes(0) No(0)
• From the given information, (272738 - 13, 232342 - 17) are exactly divisible by that two digit number.
  We have to find the HCF of the given numbers 272725, 232325.
  HCF = 25.
  So sum of the digits = 7.
• 8 years agoHelpfull: Yes(0) No(0)