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?
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?
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.