Question

The sum of the two digit number is 6. If the digits are interchanged the new number formed is 18 less than the orignal number.Find the orignal two digit number.

Answer 1

Let us assume, x and y are the two digits of the two-digit number

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

Given:

x + y = 6 ---------------1

Also given:

10y + x = 10x + y -18

9x – 9y = 18

x – y = 2 -------------2

Adding equation 1 and equation 2

2x = 8

x = 4

Therefore, y = 6 – x = 6 – 4 = 2

Therefore, the two-digit number = 10x + y = 10*4 + 2 = 42

The original number = 42