document.write( "Question 475421: If the larger of two integers, whose sum is 88, is divided by the smaller, the quotient is 5 and the remainder is 10. What are the numbers? \n" ); document.write( "

Algebra.Com's Answer #326057 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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If the larger of two integers, whose sum is 88, is divided by the smaller, the quotient is 5 and the remainder is 10. What are the numbers?
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\n" ); document.write( "Two integers, x and y
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\n" ); document.write( "\"whose sum is 88,\"
\n" ); document.write( "x + y = 88
\n" ); document.write( "y = (88-x)
\n" ); document.write( ":
\n" ); document.write( "\"the larger of two integers is divided by the smaller, the quotient is 5 and the remainder is 10.\"
\n" ); document.write( " $\"%28x-10%29%2Fy\"$ = 5
\n" ); document.write( "x - 10 = 5y
\n" ); document.write( "Replace y with (88-x)
\n" ); document.write( "x - 10 = 5(88 - x)
\n" ); document.write( "x - 10 = 440 - 5x
\n" ); document.write( "x + 5x = 440 + 10
\n" ); document.write( "6x = 450
\n" ); document.write( "x = $\"450%2F6\"$
\n" ); document.write( "x = 75
\n" ); document.write( "then
\n" ); document.write( "y = 88 - 75
\n" ); document.write( "y = 13
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\n" ); document.write( " What are the numbers? 75 and 13
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\n" ); document.write( "See if that is true: 75/13 = 5, with a remainder o 10 \n" ); document.write( "

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