document.write( "Question 518841: One positive number is 5 more than a second number, and their product is 66. Find the two numbers. \r
\n" ); document.write( "\n" ); document.write( "I know the numbers are 6 and 11. I need to know how to do them. Please explain. Thank you. \n" ); document.write( "
Algebra.Com's Answer #345274 by Maths68(1474)\"\" \"About 
You can put this solution on YOUR website!
Let
\n" ); document.write( "One number = x
\n" ); document.write( "Other number = y\r
\n" ); document.write( "\n" ); document.write( "x=y+5...............(1)
\n" ); document.write( "xy=66...............(2)
\n" ); document.write( "Substitute the value of x in (2)
\n" ); document.write( "(y+5)y=66
\n" ); document.write( "y^2+5y=66
\n" ); document.write( "y^2+5y-66=0
\n" ); document.write( "y^2+11y-6y-66=0
\n" ); document.write( "y(y+11)-6(y+11)=0
\n" ); document.write( "(y+11)(y-6)=0
\n" ); document.write( "y+11=o or y-6=0
\n" ); document.write( "y=-11 or y=6 (negative number inadmissible)
\n" ); document.write( "y=6
\n" ); document.write( "Put the value of y in (1)
\n" ); document.write( "x=y+5
\n" ); document.write( "x=6+5
\n" ); document.write( "x=11\r
\n" ); document.write( "\n" ); document.write( "x,y=11,6
\n" ); document.write( "Check
\n" ); document.write( "=====
\n" ); document.write( "Put the values of x and y in (1) and (2)
\n" ); document.write( "x=y+5=6+5=11
\n" ); document.write( "xy=66=6*11=66
\n" ); document.write( " \n" ); document.write( "
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