document.write( "Question 225263: If two numbers are both increased by 10, their product is increased by 550. If twice the smaller number exceeds the larger by 15, find the numbers. \n" ); document.write( "
Algebra.Com's Answer #168126 by ankor@dixie-net.com(22740)\"\" \"About 
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Two numbers, x & y
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\n" ); document.write( "write an equation for each statement:
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\n" ); document.write( "If two numbers are both increased by 10, their product is increased by 550.
\n" ); document.write( "New no. product - original product = 550
\n" ); document.write( "(x+10)*(y+10) - xy = 550
\n" ); document.write( "FOIL
\n" ); document.write( "xy + 10x + 10y + 100 - xy = 550
\n" ); document.write( "xy's cancel
\n" ); document.write( "10x + 10y + 100 = 550
\n" ); document.write( "10x + 10y = 550 - 100
\n" ); document.write( "10x + 10y = 450
\n" ); document.write( "Simplify, divide by 10
\n" ); document.write( "x + y = 45
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\n" ); document.write( " If twice the smaller number exceeds the larger by 15,
\n" ); document.write( "x = 2y - 15
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\n" ); document.write( " find the numbers.
\n" ); document.write( "Replace x in the 1st equation with (2y-15)
\n" ); document.write( "(2y-15) + y = 45
\n" ); document.write( "2y + y = 45 + 15
\n" ); document.write( "3y = 60
\n" ); document.write( "y = \"60%2F3\"
\n" ); document.write( "y = 20
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\n" ); document.write( "Find x:
\n" ); document.write( "x = 2(20) - 15
\n" ); document.write( "x = 25
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\n" ); document.write( ":
\n" ); document.write( "See if that works in the 1st statement
\n" ); document.write( "35*30 - 25*20 =
\n" ); document.write( "1050 = 500 = 550 \n" ); document.write( "
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