document.write( "Question 103874: translate to a system of equations and solve\r
\n" ); document.write( "\n" ); document.write( "The sum of two numbers is 27. One half or the first number plus one third of the second number is 11. Find the numbers \n" ); document.write( "
Algebra.Com's Answer #75556 by stanbon(75887)\"\" \"About 
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The sum of two numbers is 27. One half of the first number plus one third of the second number is 11. Find the numbers
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\n" ); document.write( "Let the numbers be x and y:
\n" ); document.write( "EQUATIONS:
\n" ); document.write( "1st: x + y = 27
\n" ); document.write( "2nd:(1/2)x + (1/3)y = 11
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\n" ); document.write( "Rewrite:
\n" ); document.write( "Multiply thru 2nd by 6 and multiply 1st by 2 to get:
\n" ); document.write( "1st: 2x + 2y = 54
\n" ); document.write( "3rd: 3x + 2y = 66
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\n" ); document.write( "Subtract 1st from 3rd to get:
\n" ); document.write( "x = 12
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\n" ); document.write( "substitute into x+y = 27 to solve for y:
\n" ); document.write( "12 + y = 27
\n" ); document.write( "y = 15
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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