Question

Sum of the digits of a two digit number is 9. When we interchange the digits,it is found that the resulting new number is greater than the original number ny 27. What is the original number

Answer 1

Answer:

36

Step-by-step explanation:

Given,

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