The sum of the digits of a two-digit number is 10, while when the digits are reserved, the number decreases by 54. Find the changed number.Options28192721

Question

The sum of the digits of a two-digit number is 10, while when the digits are reserved, the number decreases by 54. Find the changed number.Options28192721
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Solution 1

Let's denote the tens digit as X and the units digit as Y.

From the problem, we know that:

  1. X + Y = 10 (The sum of the digits is 10)

  2. 10Y + X = 10X + Y - 54 (When the digits are reversed, the number decreases by 54)

We can simplify the second equation to 9Y = 9X - 54, or Y = X - 6.

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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