When a number is divided by 13, the remainder is 10. When the same number is divided by 17, the remainder is 8. What is the number?

Question

When a number is divided by 13, the remainder is 10. When the same number is divided by 17, the remainder is 8. What is the number?
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Solution 1

To solve this problem, we can use the Chinese Remainder Theorem. Here are the steps:

  1. First, we need to find a number that when divided by 13 gives a remainder of 10 and when divided by 17 gives a remainder of 8. Let's denote this number as X.

  2. According to the Chinese Remainder Theorem, we ca Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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