document.write( "Question 610673: Please help!\r
\n" ); document.write( "\n" ); document.write( "The sum of three numbers is 29. The greatest number is four times the smallest number. the remaining number is 1 more than twice the smallest number. Find the three numbers.
\n" ); document.write( "

Algebra.Com's Answer #384612 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Three numbers: a, b, c; (a is the largest)
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( "The sum of three numbers is 29.
\n" ); document.write( "a + b + c = 29
\n" ); document.write( ":
\n" ); document.write( "The greatest number is four times the smallest number.
\n" ); document.write( "a = 4c
\n" ); document.write( ":
\n" ); document.write( "the remaining number is 1 more than twice the smallest number.
\n" ); document.write( "b = 2c + 1
\n" ); document.write( ":
\n" ); document.write( "Find the three numbers.
\n" ); document.write( "using the 1st equation, replace a with 4c, replace b with (2c+1)
\n" ); document.write( "4c + (2c+1) + c = 29
\n" ); document.write( "7c + 1 = 29
\n" ); document.write( "7c = 29-1
\n" ); document.write( "c = 28/7
\n" ); document.write( "c = 4
\n" ); document.write( "then
\n" ); document.write( "a = 4(4) = 16
\n" ); document.write( "b = 2(4) + 1 = 9
\n" ); document.write( ":
\n" ); document.write( "16, 9, 4 are the three numbers
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "You can check the solutions by finding their sum
\n" ); document.write( "
\n" );