The digits of a two-digit number differ by six. Find the difference of the number and the number formed by reversing its digits?

• let the tens digit be x and ones digit be y
  x-y =6
  
  10x+y - (10y+x) = 9x-9y = 9 (x-y) = 9*6 = 54
• 10 years agoHelpfull: Yes(53) No(0)
• Ans is 54
  
  60-06=54,
  71-17=54,
  82-28=54,
  93-39=54
• 10 years agoHelpfull: Yes(9) No(0)
• just do the options...and follow trail and error
  
  thats the efficient way to solve these sort of questions.... i trust
• 10 years agoHelpfull: Yes(4) No(1)
• let the two numbers be x and y
  reading the question above we get
  x-y=6
  
  10x+y -(10y+x)=9x-9y
  9(x-y)=9*6=54 answer
• 10 years agoHelpfull: Yes(3) No(0)
• Since it is a property of a two digit number that difference between a number and number formed by reversing its digits is divisible by 9 and the quotient formed my dividing that quantity by 9 is the difference between the digits of a two digit number
  i.e
  YX-XY=d=This d is divisible by 9 and on dividing this d by 9 the quotient is the difference between digits of a two digit number
  so according to given question
  Y-X=6
  that means 9*6=54 is difference which we will get by doing YX-XY
  YX-XY=54
  since difference between digits is given of 6
  so possible probabilities are
  17and71or 28and82 or 93and39
• 10 years agoHelpfull: Yes(2) No(1)
• let x=8, y=2
  x-y=6
  number is 82
  reverse is 28
  82-28= 54
  similarly 93-39 = 54
  ans is 54
  
• 10 years agoHelpfull: Yes(2) No(0)
• @mandal y u take 9x-9y
• 10 years agoHelpfull: Yes(1) No(0)
• let the digit be x,y;
  numer =10x+y;
  reversing digit number would be 10*y+x;
  from question
  (10x+y)-(10y+x)=?
  9x-9y=9(x-y)=9*6=54.
• 10 years agoHelpfull: Yes(0) No(0)
• let digits are x , y
  tenth digit =x, units=y
  acc. to question x - y =6
  now, (10x-y) - (10y -x)= ??
  so the above eq. gives 9x -9y => 9(x-y) => 9*6 =54 (as x-y=6)
  
• 10 years agoHelpfull: Yes(0) No(0)
• A/Q the difference of two no.(x-y)=6
  =>10x+y -10y-x
  =>9(x-y)=9*6=54
• 10 years agoHelpfull: Yes(0) No(0)
• ans is 54
  
• 10 years agoHelpfull: Yes(0) No(2)
• there are three combination
  9-3=6
  8-2=6
  7-1=6
  therefor no are 93 ,82 and 71
  and difference no and its reverse are 93-39=82-28=71-17=54 is same
• 10 years agoHelpfull: Yes(0) No(0)
• let the tens digit be x and ones digit be y
  x-y =6
  
  10x+y - (10y+x) = 9x-9y = 9 (x-y) = 9*6 = 54
  
• 10 years agoHelpfull: Yes(0) No(0)
• how 10 came here in 10x+y. pls tell clearly.
• 9 years agoHelpfull: Yes(0) No(0)
• Priya...
  If decimal digit is x and unit digit is y then the two digit no. Happns 10x+ y
• 9 years agoHelpfull: Yes(0) No(0)
• 54 is the answer.
• 9 years agoHelpfull: Yes(0) No(0)
• there are three combination
  9-3=6
  8-2=6
  7-1=6
  therefor no are 93 ,82 and 71or reverse of them i.e.17,28 and 36
  and its reverse are 93-39=82-28=71-17=54 is same
• 9 years agoHelpfull: Yes(0) No(0)
• suppose digits are x and y so,
  10x+y-(10y+x)=9(x-y)=9*6=54
  
• 9 years agoHelpfull: Yes(0) No(0)