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1 . 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?

A. 3
B. 4
C. 6
D. 9
D. None of these

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Answer: Option B

Explanation:

Let the two-digit number be 10x+y, where x is the digit in the tens place and y is the digit in the units place.

When the digits are interchanged, the number becomes 10y+x.

According to the given information, the difference between the two-digit number and the number obtained by interchanging the positions of its digits is 36. Mathematically, this can be represented as:

(10x+y)−(10y+x)=36

Simplifying the equation:

10x+y−10y−x=36 9x−9y=36 x−y=4

So, the difference between the two digits of the number is 4.

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