Question
A two-digit number is such that the sum of its digits is
10. If 36 is added to the number, the digits interchange their places. Find the number.Solution
Let the number be 10x + y, where x and y are its digits. From the problem, x + y = 10 and 10x + y + 36 = 10y + x. Simplifying the second equation: 9x - 9y = -36 → x - y = -4. Solving x + y = 10 and x - y = -4, we get x = 3 and y = 7. The number is 10x + y = 37. Correct Option: b
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