document.write( "Question 515249: •The difference between two numbers is 27. When twice the smaller number is subtracted from three times the larger number the difference is 95. What are the numbers? \n" ); document.write( "
Algebra.Com's Answer #343870 by Maths68(1474)\"\" \"About 
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Let
\n" ); document.write( "Larger Number = x
\n" ); document.write( "Smaller Number = y
\n" ); document.write( "The difference between two numbers is 27
\n" ); document.write( "x-y=27
\n" ); document.write( "x=27+y............(1)
\n" ); document.write( "When twice the smaller number is subtracted from three times the larger number the difference is 95
\n" ); document.write( "2y-3x=95............(2)
\n" ); document.write( "Put the value of x in above equation
\n" ); document.write( "2y-3(27+y)=95
\n" ); document.write( "2y-81-3y=95
\n" ); document.write( "-y=95+81
\n" ); document.write( "-y=176
\n" ); document.write( "y=-176
\n" ); document.write( "Put the value of y in (1)
\n" ); document.write( "x=27-y............(1)
\n" ); document.write( "x=27-176
\n" ); document.write( "x=-149\r
\n" ); document.write( "\n" ); document.write( "Larger Number = -149
\n" ); document.write( "Smaller Number = -176\r
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\n" ); document.write( "Put the values of x and y in (1)
\n" ); document.write( "x=27+y............(1)
\n" ); document.write( "-149=27-176
\n" ); document.write( "-149=-149
\n" ); document.write( "Now Put the values of x and y in (2)
\n" ); document.write( "2y-3x=95............(2)
\n" ); document.write( "2(-176)-3(-149)=95
\n" ); document.write( "-352+447=95
\n" ); document.write( "95=95\r
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