Question
Download Solution PDFThe sum of digits of a 2-digit number is 12. When the digits are reversed, the number becomes greater by eighteen. What is the difference between the digits in the number?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Let's assume that the 2-digit number is represented as 10x + y,
where x and y are the tens and units digits respectively.
We are given that the sum of the digits is 12, so we can write:
x + y = 12
Digits are reversed, the new number is represented as 10y + x.
According to the question
10y + x = 10x + y + 18
Simplifying this equation, we get:
9y - 9x = 18
Dividing both sides by 9, we get:
y - x = 2
∴ The difference between the digits in the number is 2.
Last updated on Jun 18, 2025
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