document.write( "Question 190156: Find two numbers whose difference is 10 and \"+1%2F6+\" of whose sum is 11. \n" ); document.write( "
Algebra.Com's Answer #142720 by jojo14344(1513)\"\" \"About 
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\n" ); document.write( "Let us assigned the two numbers be x & y.\r
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\n" ); document.write( "\n" ); document.write( "1st condition:\r
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\n" ); document.write( "\n" ); document.write( "The difference is 10: \"x-y=10\"\r
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\n" ); document.write( "\n" ); document.write( "2nd condition:\r
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\n" ); document.write( "\n" ); document.write( "One-sixth of sum is 11: \"%281%2F6%29%28x%2By%29=11\"\r
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\n" ); document.write( "\n" ); document.write( "In 1st condition we get, \"x=10%2By\", subst. in 2nd condition:\r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F6%29%28highlight%2810%2By%29%2By%29=11\"
\n" ); document.write( "\"%281%2F6%29%2810%2B2y%29=11\"
\n" ); document.write( "\"10%2F6%2B2y%2F6=11\" ---> \"cross%2810%295%2Fcross%286%293%2Bcross%282%291y%2Fcross%286%293=11\"
\n" ); document.write( "\"%281%2F3%29y=11-5%2F3=%2833-5%29%2F3=28%2F3\"
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\n" ); document.write( "\"red%28y=28%29\" ---> One number\r
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\n" ); document.write( "\n" ); document.write( "Then, \"x=10%2B28=red%2838%29\" ---> The other number\r
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\n" ); document.write( "\n" ); document.write( "Check via 2nd condition:
\n" ); document.write( "\"%281%2F6%29%2838%2B28%29=11\"
\n" ); document.write( "\"%281%2F6%29%2866%29=11\"
\n" ); document.write( "\"11=11\"\r
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\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
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