document.write( "Question 560242: the difference between two positive numbers is 7 while their product is 60. find the two numbers \n" ); document.write( "
Algebra.Com's Answer #363792 by fcabanski(1391)\"\" \"About 
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x-y=7 | The difference between them is 7.
\n" ); document.write( "x*y=60 | Their product is 60.


\n" ); document.write( "Solve the first equation for x, then substitute that value for x in the second equation to find y.


\n" ); document.write( "x=y+7
\n" ); document.write( "(y+7)*y = 60
\n" ); document.write( "y^2 + 7y = 60
\n" ); document.write( "y^2 +7y - 60 = 0
\n" ); document.write( "(y+12)(y-5)=0 | At this point you probably see the answer, but continue solving for y.


\n" ); document.write( "y+12=0 so y=-12
\n" ); document.write( "y-5 = 0 so y=5


\n" ); document.write( "Only y=5 is valid because the problem specifies positive numbers.


\n" ); document.write( "x-y=7 and now we know y=5
\n" ); document.write( "x-5=7
\n" ); document.write( "x=12
\n" ); document.write( "

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