document.write( "Question 14061: The sum of three numbers is 6. The
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document.write( "third number is the sum of the first
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document.write( "and second number. The first number
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document.write( "is one more than the third number.
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document.write( "Find the numbers. \n" );
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Algebra.Com's Answer #7074 by rahman(247)![]() ![]() You can put this solution on YOUR website! Suppose: \n" ); document.write( "x is the first number \n" ); document.write( "y is the second number \n" ); document.write( "z is the third number\r \n" ); document.write( "\n" ); document.write( "We can construct mathematic model from the problem: \n" ); document.write( "x + y + z = 6 \n" ); document.write( "z=x+y \n" ); document.write( "x=z+1\r \n" ); document.write( "\n" ); document.write( "Look the first equation and the second equation: \n" ); document.write( "x+y+z=6 \n" ); document.write( "(x+y)+z=6 \n" ); document.write( "z+z=6 \n" ); document.write( "2z=6 \n" ); document.write( " \n" ); document.write( "z=3\r \n" ); document.write( "\n" ); document.write( "Substitute z=3 to x = z+1 \n" ); document.write( "x = z+1 \n" ); document.write( "x = 3+1 \n" ); document.write( "x=4\r \n" ); document.write( "\n" ); document.write( "Substitute x=4 and z=3 to z=x+y \n" ); document.write( "z=x+y \n" ); document.write( "3=4+y \n" ); document.write( "3-4=y \n" ); document.write( "y=-1\r \n" ); document.write( "\n" ); document.write( "Thus, the first number is 4, the second number is -1, and the third number is 3 \n" ); document.write( "OK \n" ); document.write( " |