document.write( "Question 516740: the difference between two numbers is 18. the sum of twice the smaller number and three times the larger is74. what are the numbers? \n" ); document.write( "
Algebra.Com's Answer #344472 by mananth(16946)\"\" \"About 
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bigger number ----x
\n" ); document.write( "smaller number ----y\r
\n" ); document.write( "\n" ); document.write( "x-y=18..............1
\n" ); document.write( "2y+3x=74............2\r
\n" ); document.write( "\n" ); document.write( "1 x -1 y = 18 .............1
\n" ); document.write( "3 x + 2 y = 74 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 2
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "2 x -2 y = 36
\n" ); document.write( "3 x 2 y = 74
\n" ); document.write( "Add the two equations
\n" ); document.write( "5 x = 110
\n" ); document.write( "/ 5
\n" ); document.write( "x = 22
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + -1 y = 18
\n" ); document.write( "22 + -1 y = 18
\n" ); document.write( " -1 y = 18 -22
\n" ); document.write( " -1 y = -4
\n" ); document.write( " y = 4
\n" ); document.write( " \n" ); document.write( "
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