Question

The digits of a two-digit number differ by 3. If digits are interchanged and the resulting number is added to the original number, we get 121. Find the original number.

Answer 1

Answer:

Let the digits of the number be a and b such that the number is (10a+b).

According to the question,

a−b=3 or b−a=3 ...... (1)

10a+b+10b+a=143

a+b=13 ...... (2)

Solving both the equations, we have

a=8 and b=5 or a=5 and b=8

Therefore, the required number is 85 or 58.