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 #363793 by Maths68(1474) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let x and y be the two positive numbers\r
\n" ); document.write( "\n" ); document.write( "The difference between two positive numbers is 7
\n" ); document.write( " $\"x-y=7\"$
\n" ); document.write( " $\"x=7%2By\"$ .............(1)
\n" ); document.write( "Their product is 60
\n" ); document.write( " $\"xy=60\"$
\n" ); document.write( "Put the value of x in above equation
\n" ); document.write( " $\"%287%2By%29y=60\"$
\n" ); document.write( " $\"7y%2By%5E2=60\"$
\n" ); document.write( " $\"7y%2By%5E2-60=0\"$
\n" ); document.write( " $\"y%5E2%2B7y-60=0\"$
\n" ); document.write( "Now solve for y
\n" ); document.write( " $\"y%5E2%2B12y-5y-60=0\"$
\n" ); document.write( " $\"y%28y%2B12%29-5%28y%2B12%29=0\"$
\n" ); document.write( " $\"%28y%2B12%29%28y-5%29=0\"$
\n" ); document.write( " $\"y%2B12=0\"$ or $\"y-5=0\"$
\n" ); document.write( " $\"y=-12\"$ or $\"y=5\"$
\n" ); document.write( "so
\n" ); document.write( " $\"y=5\"$
\n" ); document.write( "Put the value of y in (1)
\n" ); document.write( " $\"x=7%2By\"$
\n" ); document.write( " $\"x=7%2B5\"$
\n" ); document.write( " $\"x=12\"$
\n" ); document.write( "x,y= 12, 5\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Check
\n" ); document.write( "=======
\n" ); document.write( "The difference between two positive numbers is 7
\n" ); document.write( "12-5=7
\n" ); document.write( "7=7
\n" ); document.write( "Their product is 60
\n" ); document.write( "12*5=60
\n" ); document.write( "60=60\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );