document.write( "Question 610673: Please help!\r
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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" );
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Algebra.Com's Answer #384612 by ankor@dixie-net.com(22740)![]() ![]() 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( " |