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Let the original number be 10x + y, where x is the tens digit and y is the units digit. Given: x + y = 12 and 10y + x = (10x + y) - 18. Simplify the second condition: 10y + x = 10x + y - 18 9y - 9x = -18 y - x = -2. Now solve the two equations: x + y = 12 y - x = -2. Add the equations: 2y = 10 → y = 5. Substitute y = 5 into x + y = 12: x + 5 = 12 → x = 7. The original number is 10x + y = 10(7) + 5 = 75. Correct answer: d. 75
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