Discussion

When a number is divided by 13, the remainder is 11. When the same number is divided by 17, the remainder is 9. What is the number?

Answer: B

Let the number be N.

N = 13k + 11

N = 17m + 9

We can test the options.

A) 339: \(339 \div 13 = 26\) rem 1. Incorrect.

B) 349: \(349 \div 13 = 26\) rem 11. Correct. Now check with 17. \(349 \div 17 = 20\) rem 9. Correct. So 349 is the answer.

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