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?
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?
Solution
Let's denote the tens digit as X and the units digit as Y. Therefore, the two-digit number can be expressed as 10X + Y. When the digits are reversed, the number becomes 10Y + X.
According to the problem, the difference between the original number and the reversed number is 36. So, we can write the equation as follows:
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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