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?
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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.