document.write( "Question 894700: Im trying to figure out how to write the equation for the following problem: find three consecutive even intergers such that one-forth of the first and one-seventh of the second plus one -half of the third is 13.
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Algebra.Com's Answer #542235 by stanbon(75887) $\"\"$ $\"About$

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Im trying to figure out how to write the equation for the following problem: find three consecutive even intergers such that one-forth of the first and one-seventh of the second plus one -half of the third is 13.
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\n" ); document.write( "Note:: Even numbers are always a multiple of 2.
\n" ); document.write( "1st:: 2(x-1)
\n" ); document.write( "2nd:: 2(x)
\n" ); document.write( "3rd:: 2(x+1)
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\n" ); document.write( "Equation:
\n" ); document.write( "(1/4)2(x-1) + (1/7)(2x) + (1/2)2(x+1) = 13
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\n" ); document.write( "Multiply thru by 28 to get:
\n" ); document.write( "14(x-1) + 8(x) + 28(x+1) = 28*13
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\n" ); document.write( "14x - 14 + 8x + 28x + 28 = 28*13
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\n" ); document.write( "50x + 14 = 28*13
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\n" ); document.write( "50x = 350
\n" ); document.write( "x = 7
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\n" ); document.write( "1st:: 2(x-1) = 12
\n" ); document.write( "2nd:: 14
\n" ); document.write( "3rd:: 16
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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