document.write( "Question 257909: If 100 is divided by the positive integer x, the remainder is 2. What is the remainder when 198 is divided by x? \n" ); document.write( "

Algebra.Com's Answer #189917 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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If 100 is divided by the positive integer x, the remainder is 2.
\n" ); document.write( " What is the remainder when 198 is divided by x?
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\n" ); document.write( "\n" ); document.write( "The positive integer: $\"%28%28100-2%29%29%2Fx\"$ = 98/x
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\n" ); document.write( "\"What is the remainder when 198 is divided by x?
\n" ); document.write( "Let r = the remainder, divide 198 by 2x
\n" ); document.write( " $\"%28198-r%29%2F%282x%29\"$ = $\"98%2Fx\"$
\n" ); document.write( "Cross multiply
\n" ); document.write( "x(198-r) = 2x(98)
\n" ); document.write( "x(198-r) = 196x
\n" ); document.write( "Divide both sides by x
\n" ); document.write( "198 - r = 196
\n" ); document.write( "198 - 196 = r
\n" ); document.write( "r = 2 is the remainder when 198 is divided by x
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