The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the ...

Question

The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, find the original number.

A. 39
B. 57
C. 66
D. 93

Accepted Answer

The original number is 39. Answer: A. Let the original two-digit number have tens digit a and units digit b. We know a + b = 12, and the reversed number (10b + a) exceeds the original (10a + b) by 54. Solving these two equations gives the unique pair (a, b).

The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, find the original number. A. 39 B. 57 C. 66 D. 93