document.write( "Question 703594: The sum of two numbers is 69. If the larger is divided by the smaller, the quotient is 3 and the remainder is 9. Find the numbers.\r
\n" ); document.write( "\n" ); document.write( "Here is what I have so far:
\n" ); document.write( "Smaller =X
\n" ); document.write( "larger = 69-X\r
\n" ); document.write( "\n" ); document.write( "I know the answer is 54 and 15 because the homework is multiple choice but I do not know how to get there. \r
\n" ); document.write( "\n" ); document.write( "Thanks in advance.
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Algebra.Com's Answer #433570 by josgarithmetic(39625)\"\" \"About 
You can put this solution on YOUR website!
Forget about the multiple choices given to you, and first analyze and solve.\r
\n" ); document.write( "\n" ); document.write( "Two numbers, x and y. Let x. First description gives \"x%2By=69\".
\n" ); document.write( "Last description means, \"y%2Fx=3%2B9%2Fx\" -----was not appearing during editing so may look repeated-------\r
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\n" ); document.write( "\n" ); document.write( "The rational equation, when multiply both sides by x, becomes y=3x+9.
\n" ); document.write( "A system of simple linear equations is now obtained:
\n" ); document.write( "3x-y=-9
\n" ); document.write( "x+y=69\r
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\n" ); document.write( "\n" ); document.write( "ADDING second to first, yields 4x+0=60, giving us x=15. Then from x+y=69, we find y=54.
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