document.write( "Question 315202: Three numbers add up to 60.The first number is 1/3 of the second number. The third number is twice the second number. What are the three numbers? \n" ); document.write( "

Algebra.Com's Answer #225547 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Write an equation for each statement
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\n" ); document.write( "Three numbers add up to 60.
\n" ); document.write( "x + y + z = 60
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\n" ); document.write( "The first number is 1/3 of the second number.
\n" ); document.write( "x = $\"1%2F3\"$ y
\n" ); document.write( ":
\n" ); document.write( " The third number is twice the second number.
\n" ); document.write( "z = 2y
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\n" ); document.write( "What are the three numbers?
\n" ); document.write( "x + y + z = 60
\n" ); document.write( "replace x and z
\n" ); document.write( " $\"1%2F3\"$ y + y + 2y = 60
\n" ); document.write( ":
\n" ); document.write( " $\"1%2F3\"$ y + 3y = 60
\n" ); document.write( "Multiply eq by 3, results
\n" ); document.write( "y + 3(3y) + 3(60)
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\n" ); document.write( "y + 9y = 180
\n" ); document.write( "y = $\"180%2F10\"$
\n" ); document.write( "y = 18
\n" ); document.write( "then
\n" ); document.write( "z = 2(18)
\n" ); document.write( "z = 36
\n" ); document.write( "and
\n" ); document.write( "x = $\"1%2F3\"$ *18
\n" ); document.write( "x = 6
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\n" ); document.write( "Check by finding the sum of these three numbers
\n" ); document.write( "6 + 18 + 36 = 60
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