The difference between a two digit number and the number obtained by interchanging the positions of its digits are 36.what is the difference between largest and smallest of these two digits?

• assume two digit number as 'xy' and it can be written as 10x+y
  when interchanging its digits it becomes 'yx' and it can be written as 10y+x
  given 10x+y-(10y+x)=36 =>x-y=4 so ans is "4"
• 9 years agoHelpfull: Yes(13) No(0)
• Answer is 4
  Explanation (10X+Y) - (10Y-X) = 36
  X-Y = 4
• 9 years agoHelpfull: Yes(6) No(1)
• Let the two digit number be 62.
  since interchanging of positions of 62 is 26 and their difference will be 62-26=36.
  so the difference between largest and smallest of these two digits be 6-2=4
  Finally, the answer is 4.
• 7 years agoHelpfull: Yes(3) No(0)
• joy cindrealla its the logic in no system like 15=10*1+5;25=10*2+5
• 8 years agoHelpfull: Yes(2) No(0)
• Formula for 2 digit no: xy=10x+y
  After inter changing positions: yx=10y+x
  Given Difference is 10x+y-10y-X=36
  So 9x-9y=36,so x-y =4
• 7 years agoHelpfull: Yes(2) No(0)
• @ srikanth and aderu nithish , why you guys are considering xy as 10x+y?? Is there any logic behind it? I cant get you ?? :(
• 8 years agoHelpfull: Yes(1) No(4)
• 4. 10x+y-10y-x=36
  9(x-y)=36
• 7 years agoHelpfull: Yes(1) No(0)
• Answer : 4
• 7 years agoHelpfull: Yes(0) No(0)
• A+B=36 CONSIDER according to the question and prime factorize 36;we will get 36=2*2*3*3,so Pic out common factors from those 2 and 3 and multiply 2and 3 we will get 6.so 6x+6y=36 then x+y=6
  Write all possiable x and y values for the Above equation we will get
  [1,5;2,4;3,3]consider only prime numbers so (1,5) and (3,3) and the difference of two numbera is (5-1=4)ans is 4 and why we ignore 2,4 because 2 is a factor of 4 .
• 6 years agoHelpfull: Yes(0) No(0)
• 10x+y-(10y+x)=36
  After solving ,
  x-y=4
  Ans 4
• 6 years agoHelpfull: Yes(0) No(0)
• (240/24)=(240+650)/x
  x=89 sec
• 5 years agoHelpfull: Yes(0) No(0)
• xy-yx=36
  10x+y-(10y+x)=36
  upon solving x-y =4
• 5 years agoHelpfull: Yes(0) No(0)