document.write( "Question 73669: One number is 100 larger than another number. If the larger number is divided by the smaller number, the quotient is 15 and the remainder is 2. Find the numbers \n" ); document.write( "

Algebra.Com's Answer #52706 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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One number is 100 larger than another number.
\n" ); document.write( "x is the smaller number, the larger number is (x+100)
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\n" ); document.write( "If the larger number is divided by the smaller number, the quotient is 15 and the remainder is 2.
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\n" ); document.write( "Since the divisor is x, the remainder will be 2/x
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\n" ); document.write( " $\"%28%28x%2B100%29%29%2Fx\"$ = 15 + $\"2%2Fx\"$
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\n" ); document.write( "Mult equation by x, you then have:
\n" ); document.write( "x + 100 = 15x + 2
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\n" ); document.write( "x - 15x = 2 - 100
\n" ); document.write( "-14x = -98
\n" ); document.write( "x = -98/-14
\n" ); document.write( "x = + 7
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\n" ); document.write( "Check solution with a calc: 107/7 = 15.2857..; 2/7 = .2857... \r
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