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?

Solution

## 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 $$58$$.Mathematics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More