A number consists of two digits. The sum of digits is 8. If digits are interchanged, the new number becomes 36 less than the original number. The number is?
Answer: 62
Explanation
Let the two-digit number be 10x + y, where x is the tens digit and y is the unit digit.
Given: x + y = 8
If digits are interchanged, the new number is 10y + x.
Given condition: (10x + y) - (10y + x) = 36
Simplifying: 9x - 9y = 36 → x - y = 4
Solving x + y = 8 and x - y = 4, we get x = 6, y = 2.
The number is 62.
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