A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11.
Find a and b?

• A = 1 and B = 9. By that
  
  413 + 984 = 1397 which is divisible by 11.
• 12 years agoHelpfull: Yes(7) No(2)
• ans a=1 amd b=9 . according to question 4 digit no 13b7 is divisible by 11 then (sum 0f even place)-(sum 0f odd place)=0 or any no which is divisible by 11 then
  (3+7)-(1+b)=9-b by put b=9 we get 0 that means no is divisible by 11 . therefore b=9
  and no is 1397 and is sum of 4a3 and984 now sustract the 984 from no we get value of a (1397-984)=413
  hence a=1
• 12 years agoHelpfull: Yes(2) No(1)
• a=1
  b=9
  
  if a=1 then
  413
  984
  -----
  1397
  
  if a=2 then
  423
  984
  ------
  1407
  
  
  
• 12 years agoHelpfull: Yes(1) No(2)
• answer:: a= 1 b=9
  Because there is no carry over and only digit will support final no. which is divisible by 11
  final digit= 1397
• 12 years agoHelpfull: Yes(1) No(0)
• trick for finding out a number is divisible by 11 is adding alternative numbers in it.
  find out the difference of the numbers.
  If the number is divisible by 11 then the orignal number is also divisible by 11
  By this trick b=9
  if b =9 then a=1 by solving
• 11 years agoHelpfull: Yes(1) No(0)
• A = 1 and B = 9
  413 + 984 = 1397 which is divisible by 11.
• 10 years agoHelpfull: Yes(0) No(0)
• 4a3+984=13b7
  then b-a=8 and 13b7 is divisible by 11 so we have thing put any number from 0 to 9 which make 13b7 will divisible by 11
  hence b=9 then it will divisible by 11
  b-a=8;a must be 1 and a+b=10 ans
• 8 years agoHelpfull: Yes(0) No(0)
• 13b7 is divisible by 11 means difference between odd digit and even digit place should be divisible by 11.
  It means (7+3)-(1+b) should be divisible by 11. You only find one condition i.e. b=9 then u got answer. a is 9-8=1
• 7 years agoHelpfull: Yes(0) No(0)
• The value of a=1 and b= 9 because a will be 1 and b will be 9 to satisfy the equation.
• 7 years agoHelpfull: Yes(0) No(0)