document.write( "Question 535464: The sum of three numbers is 20. The first number is the sum of the second and third. The third number is three times the first. Find the numbers \n" ); document.write( "

Algebra.Com's Answer #351897 by oberobic(2304) $\"\"$ $\"About$

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x + y + z = 20
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\n" ); document.write( "x = y + z
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\n" ); document.write( "z = 3x
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\n" ); document.write( "substitute z = 3x
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\n" ); document.write( "x = y + 3z
\n" ); document.write( "-2x = y
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\n" ); document.write( "substitute z = 3x and y = -2x
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\n" ); document.write( "x + (-2x) + 3x = 20
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\n" ); document.write( "2x = 20
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\n" ); document.write( "x = 10
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\n" ); document.write( "z = 3x = 30
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\n" ); document.write( "y = -2x = -20
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\n" ); document.write( "Checking...
\n" ); document.write( "x + y + z = 10 -20 + 30 = 20
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\n" ); document.write( "Answer: The three numbers are -20, 10, and 30.
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\n" ); document.write( "Done. \n" ); document.write( "

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