document.write( "Question 1171400: I am having trouble with understanding this question:\r
\n" ); document.write( "\n" ); document.write( "The sum of three numbers is 40. The second number is twice the first number. The sum of the first two numbers is 2 more than the third number. What are the three numbers?\r
\n" ); document.write( "\n" ); document.write( "So far, I've worked out:
\n" ); document.write( "x+y+z=10
\n" ); document.write( "y=2x
\n" ); document.write( "x+y=z+2 \n" ); document.write( "

Algebra.Com's Answer #796364 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "I am having trouble with understanding this question:\r
\n" ); document.write( "\n" ); document.write( "The sum of three numbers is 40. The second number is twice the first number. The sum of the first two numbers is 2 more than the third number. What are the three numbers?\r
\n" ); document.write( "\n" ); document.write( "So far, I've worked out:
\n" ); document.write( "x+y+z=10
\n" ); document.write( "y=2x
\n" ); document.write( "x+y=z+2
\n" ); document.write( "

The setup of the equations is fine, with the exception of the 1st, which has a sum of 40, not 10..\r\n" );
document.write( "x + y + z = 40 ------ eq (i)\r\n" );
document.write( "y = 2x ------- eq (ii)\r\n" );
document.write( "x + y = z + 2_____x + y - z = 2 ------- eq (iii)\r\n" );
document.write( "2z = 38 ------ Subtracting eq (iii) from eq (i) \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2x + 2y = 42 ------ Adding eq (iii) & (i) \r\n" );
document.write( "  x + y = 21 ------ eq (iv)\r\n" );
document.write( " x + 2x = 21 ------ Substituting 2x for y in eq (iv)\r\n" );
document.write( "     3x = 21\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " ----- Substituting 7 for y in eq (ii)

\n" ); document.write( "

\n" );