Question

Sum of the digit of a two digit number is 9 when we interchange the digit it is found that the resulting new number is greater than the orginal number by 27 what is the 2 digit number

Answer 1

Let the unit digit be y and tens digit be x  Number formed = 10x + y  Reverse number = 10y + x  x + y = 9 (Given)…………………………eq1  10y + x = 10x + y + 27…………………….eq2  9y - 9x = 27  y - x = 3……………………………………..eq3  Solving eq1 and eq3 ,we get  x = 3 and y = 6  Original Number = 36 Reversed Number = 63