A two-digit number has digits that add up to 9. The number obtained by reversing its digits is 27 less than the original number. Set up an equation and find the original number.

Question

Accepted Answer

63. Let tens digit = t, units = 9 - t. Number = 10t + (9 - t) = 9t + 9. Reversed = 10(9 - t) + t = 90 - 9t. Original - reversed = 27: (9t + 9) - (90 - 9t) = 27, 18t - 81 = 27, 18t = 108, t = 6, so number = 63.

A two-digit number has digits that add up to 9. The number obtained by reversing its digits is 27 less than the original number. Set up an equation and find the original number.

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