document.write( "Question 774959: The larger of two number is 5 more than the smaller.If their product is 84,what are the numbers? \n" ); document.write( "
Algebra.Com's Answer #472574 by pakhi(24)\"\" \"About 
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Let the numbers be 'x' and 'y'.
\n" ); document.write( "Let the larger number be 'x'.
\n" ); document.write( "So x = y + 5 -----------------(1)
\n" ); document.write( "Also xy = 84 -------------------(2)
\n" ); document.write( "Putting the value of 'x' from equation 1 in equation 2 we get
\n" ); document.write( " (y + 5)y = 84
\n" ); document.write( "or y^2 + 5y = 84
\n" ); document.write( "or y^2 + 5y - 84 = 0
\n" ); document.write( "or y^2 - 7y + 12y - 84 = 0
\n" ); document.write( "or y(y-7) + 12(y-7) = 0
\n" ); document.write( "or (y - 7)(y + 12) = 0
\n" ); document.write( "or y = 7 or -12\r
\n" ); document.write( "\n" ); document.write( "So x = y + 5 = 7 + 5 = 12
\n" ); document.write( " or
\n" ); document.write( " x = y + 5 = -12 + 5 = -7\r
\n" ); document.write( "\n" ); document.write( "Therefore the two numbers are either (12,7) or (-7,-12)\r
\n" ); document.write( "\n" ); document.write( "check: xy = 84
\n" ); document.write( " Putting the two sets of values in the above equation we have
\n" ); document.write( " i) 12*7 = 84
\n" ); document.write( " ii) (-7)*(-12) = 84
\n" ); document.write( " \n" ); document.write( "
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