document.write( "Question 447887: find two numbers whose difference is 18 and 1/4 of whose sum is 9. \n" ); document.write( "

Algebra.Com's Answer #308437 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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find two numbers whose difference is 18 and 1/4 of whose sum is 9.
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\n" ); document.write( "Two numbers, x & y
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\n" ); document.write( "\"difference is 18\"
\n" ); document.write( "x - y = 18
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\n" ); document.write( "and 1/4 of whose sum is 9.
\n" ); document.write( " $\"1%2F4\"$ (x + y) = 9
\n" ); document.write( "multiply both sides by 4
\n" ); document.write( "x + y = 4(9)
\n" ); document.write( "x + y = 36
\n" ); document.write( "add to the 1st equation
\n" ); document.write( "x - y = 18
\n" ); document.write( "x + y = 36
\n" ); document.write( "-----------adding eliminates y find x
\n" ); document.write( "2x = 54
\n" ); document.write( "x = $\"54%2F2\"$
\n" ); document.write( "x = 27
\n" ); document.write( "then
\n" ); document.write( "27 + y = 36
\n" ); document.write( "y = 36 - 27
\n" ); document.write( "y = 9
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\n" ); document.write( "Check solution in original 2nd equation
\n" ); document.write( " $\"1%2F4\"$ (27 + 9) =
\n" ); document.write( " $\"1%2F4\"$ (36) = 9
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