The difference between a two-digit number and the number obtained by interchangi

Question

The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

Answer: Option B

Let the ten's digit be x and unit's digit be y.

Then, (10x + y) - (10y + x) = 36

\(\Rightarrow\) 9(x - y) = 36

\(\Rightarrow\) x - y = 4.

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