document.write( "Question 167571: The smaller of two numbers is 3 less that the larger. Twice the larger plus 4 times the smaller is 36. Find the numbers
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The smaller of two numbers is 3 less that the larger. Twice the larger plus 4 times the smaller is 36. Find the numbers
\n" ); document.write( "solution:\r
\n" ); document.write( "\n" ); document.write( "Let the two numbers be x and y.
\n" ); document.write( "Let the smaller of the two be x
\n" ); document.write( "x= y-3
\n" ); document.write( "2y+4x = 36\r
\n" ); document.write( "\n" ); document.write( "Hence we haev to solve the following linear syste of equation
\n" ); document.write( "x-y = -3
\n" ); document.write( "4x+2y = 36=> 2x+y = 9\r
\n" ); document.write( "\n" ); document.write( "adding the two equations,
\n" ); document.write( "3x = 6=> x= 2
\n" ); document.write( "y = 5
\n" ); document.write( "The numbers are 2 and 5.
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