document.write( "Question 280685: the numbers 203 and 298 divided with the positive integer x leave remainder 13. what is the sum of the possible values of x? \n" ); document.write( "

Algebra.Com's Answer #204009 by oberobic(2304) $\"\"$ $\"About$

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To state you have a remainder of 13 implies that you divided by a number greater than 13.
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\n" ); document.write( "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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\n" ); document.write( "203 - 13 = 190
\n" ); document.write( "298 - 13 = 285
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\n" ); document.write( "What is the greatest common factor of 190 and 285?
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\n" ); document.write( "190 = 2*95
\n" ); document.write( "285 = 3*95
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\n" ); document.write( "So the denominator 'x' is 95:
\n" ); document.write( "203/95 = 2 R 13
\n" ); document.write( "298/95 = 3 R 13
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\n" ); document.write( "Answer:
\n" ); document.write( "The positive integer 'x' equals 95.
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\n" ); document.write( "Done. \n" ); document.write( "

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