document.write( "Question 179830: The sum of three numbers is 44. The difference between the largest and the smallest is 14, and the largest is equal to the sum of the two smaller numbers. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #134769 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
x+y+z=44
\n" ); document.write( "z-x=14
\n" ); document.write( "z=x+y
\n" ); document.write( "x+y+(x+y)=44
\n" ); document.write( "2x+2y=44
\n" ); document.write( "x+y+z=44 ( multiply this equation by -2 *& add it to the previous equation
\n" ); document.write( "-2x-2y-2z=-88
\n" ); document.write( "2x+2y=44
\n" ); document.write( "-----------------------------
\n" ); document.write( "-2z=-44
\n" ); document.write( "z=-44/-2
\n" ); document.write( "z=-44/-2
\n" ); document.write( "z=22 ans.
\n" ); document.write( "22-x=14
\n" ); document.write( "-x=14-22
\n" ); document.write( "-x=-8
\n" ); document.write( "x=8 ans.
\n" ); document.write( "22=8+y
\n" ); document.write( "y=22-8
\n" ); document.write( "y=14 ans
\n" ); document.write( "Proof:
\n" ); document.write( "x+y+z=44
\n" ); document.write( "8+14+22=44
\n" ); document.write( "44=44\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );