document.write( "Question 1061080: The sum of three numbers is 55. One number is five more than a second number. It is also twice the third. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #675974 by ankor@dixie-net.com(22740)\"\" \"About 
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The three numbers are a, b, c
\n" ); document.write( "write an equation for each statement
\n" ); document.write( "Arrange the 2nd and 3rd equations so that b and c are in terms of a\r
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\n" ); document.write( "\n" ); document.write( "The sum of three numbers is 55.
\n" ); document.write( "a + b + c = 55
\n" ); document.write( ":
\n" ); document.write( " One number is five more than a second number.
\n" ); document.write( "a = b + 5
\n" ); document.write( "subtract 5 from both sides
\n" ); document.write( "b = a - 5
\n" ); document.write( ":
\n" ); document.write( " It is also twice the third.
\n" ); document.write( "a = 2c
\n" ); document.write( "divide both sides by 2
\n" ); document.write( "c = .5a
\n" ); document.write( ":
\n" ); document.write( "Substitute for b and c in the first equation
\n" ); document.write( "a + (a-5) + .5a = 55
\n" ); document.write( "2.5a - 5 = 55
\n" ); document.write( "2.5a = 55 + 5
\n" ); document.write( "2.5a = 60
\n" ); document.write( "a = 60/2.5
\n" ); document.write( "a = 24
\n" ); document.write( "find b
\n" ); document.write( "b = 24 - 5
\n" ); document.write( " b = 19
\n" ); document.write( "find c
\n" ); document.write( "c = .5(24)
\n" ); document.write( "c = 12
\n" ); document.write( ":
\n" ); document.write( "Check in the 1st equation
\n" ); document.write( "24 + 19 + 12 = 55 \n" ); document.write( "
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