SOLUTION: The sum of the digits of a two-digit number is 14. If the digits are reversed, the result exceeds the original number by 18. Find the original number.

Question 228574: The sum of the digits of a two-digit number is 14. If the digits are reversed, the result exceeds the original number by 18. Find the original number.
Answer by Wolvstein(7) (Show Source): You can put this solution on YOUR website!
Okay, this you can solve using the hit and trial method.
Now, since 14 is a sum of two digits and we have to reverse them in order to make a number, none of the digits can exceed 10. Which leaves us with
a) 5 and 9
b) 6 and 8
c) 7 and 7.
All of these add up to 14.
The answer is b). 68-86= -18 (The negative sign denotes that if the digits are reversed, the result exceeds the original number by 18)
The original number is 68.
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