raj writes a number. he sees a number of two digits exceeds four times the sum of its digit by3. if the no is increased by 18. the result is same as the no formed by reversing the digit. find the next immediate prime number greater than the number.

• From the given information,
  
  10x + y = 4(x+y) +3
  2x - y = 1
  
  From the second statement as the difference between the number and its reverse is 18, teh difference between the digits is 2
  
  y - x = 2
  
  Solving both the equations,
  
  x=3 and y=5
  
  Next prime number after 35 is 37.
  answer is 37
• 10 years agoHelpfull: Yes(19) No(0)
• 10x+y=4(x+y)+3.....1
  10x+y+18=10y+x......2
  solving equation 1 and 2 we get x=3 and y=5
  so the number of two digit is 35
  and next prime number greater than number is 37
  
• 10 years agoHelpfull: Yes(10) No(0)
• 37 is the correct answer the digit formed is 35
• 10 years agoHelpfull: Yes(2) No(1)
• Given that
  10x + y= 4(x+y)+3
  2x-y=1 ....(i)
  now by the second statement
  10x+y+18=10y+x
  =>y-x=2 .....(ii)
  from (i) and (ii) we get x=3 and y=5
  number is 35
  and next immediate prime no is 37 which greater than 35
  
• 9 years agoHelpfull: Yes(0) No(0)