Question 280685
To state you have a remainder of 13 implies that you divided by a number greater than 13.
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Since we need to a remainder of 13, we need to find the numbers that are an equal multiple of 'x'.
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203 - 13 = 190 
298 - 13 = 285
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What is the greatest common factor of 190 and 285?
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190 = 2*95
285 = 3*95
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So the denominator 'x' is 95:
203/95 = 2 R 13
298/95 = 3 R 13
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Answer:
The positive integer 'x' equals 95.
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Done.