Question

The digits of a two-digit number differ by 3. If the digits are interchanged and the
resulting number is added to the original number, we get 143. What can be the original
number?

Answer 1

Step-by-step explanation:

Let the two digit number be xy.

 

The digit of a two digit number differ by 3.

Hence, x - y = 3 ...(i)

The digit are interchanged and the resulting number is added to the original number we get 143.

10x + y + 10y + x = 143

11x + 11y = 143

x + y = 13 ...(ii)

Solving (i) and (ii) we get x = 8 and y = 5

Hence, the original number is 85.