The sum of the digits of a 2-digit number is 12. If the digits are reversed, the new number is 18 more than the original. What is the original number?
Q1. The sum of the digits of a 2-digit number is 12. If the digits are reversed, the new number is 18 more than the original. What is the original number?
Answer: 57
Explanation: Let the number be 10x + y, where x + y = 12. Reversing gives 10y + x, and 10y + x = 10x + y + 18. Simplifying gives 9y - 9x = 18, or y - x = 2.