Question

The sum of digits of s two digit number is 8. If 36 is added to this number, the digits are reversed. Find the number?(only in 1 variable)

Answer 1

Answer:

26

Step-by-step explanation:

Let's consider x and y are two-digit numbers.

Therefore, the two-digit number is 10x+y and the reversed the number is 10y+x.

The sum of two-digit number is 8.

             x + y = 8

             x = 8 - y  ________1

Given: 10x + y + 36 = 10y + x

           9x + 36 = 9y

           36 = 9y - 9x

           y - x = 4 _________2

substitute 1 in 2

     y - (8 - y) = 4

    2y = 12

     y = 6 __________3

substitute 3 in 1

    x = 8 - 6

    x = 2

   So, the two digit number is 26.

   The reversed number is 62.