Question

A two digit number is such that sum of the ones and tens digit is 10.If the digits are reversed, the new number formed exceeds the original number by 54. Find the new number​

1. Let the tens digit of the original number be x and the ones digit be y. The original number is 10x + y, and the new number formed by reversing the digits is 10y + x.
Since the new number exceeds the original number by 54, we can set up the equation:
10y + x = 10x + y + 54
9x – 9y = 54
x – y = 6
Since x and y are both digits, they must both be integers. The only solution to this equation that satisfies this condition is x = 8 and y = 2.
Therefore, the original number is 82 and the new number formed by reversing the digits is 28. This is the new number.
The passage contains a mathematical word problem involving a two-digit number and its properties when the digits are reversed. The problem is solved step-by-step, leading to the identification of the original and new numbers.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Question

A two digit number is such that sum of the ones and tens digit is 10.If the digits are reversed, the new number formed exceeds the original number by 54. Find the new number​

1. Let the tens digit of the original number be x and the ones digit be y. The original number is 10x + y, and the new number formed by reversing the digits is 10y + x.
Since the new number exceeds the original number by 54, we can set up the equation:
10y + x = 10x + y + 54
9x – 9y = 54
x – y = 6
Since x and y are both digits, they must both be integers. The only solution to this equation that satisfies this condition is x = 8 and y = 2.
Therefore, the original number is 82 and the new number formed by reversing the digits is 28. This is the new number.
user
The passage contains a mathematical word problem involving a two-digit number and its properties when the digits are reversed. The problem is solved step-by-step, leading to the identification of the original and new numbers.

TYPE: SINGLE_QUESTION_WITH_ANSWER