document.write( "Question 204618: a positive number is 1 more than twice another number.if the difference of their squares is 40, find the larger of the two numbers. \n" ); document.write( "
Algebra.Com's Answer #154484 by ankor@dixie-net.com(22740)\"\" \"About 
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a positive number is 1 more than twice another number.
\n" ); document.write( "if the difference of their squares is 40, find the larger of the two numbers.
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\n" ); document.write( "let x = the larger number
\n" ); document.write( "let y = the other number
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\n" ); document.write( "\"a positive number is 1 more than twice another number.\"
\n" ); document.write( "x = 2y + 1
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\n" ); document.write( "\"if the difference of their squares is 40,\"
\n" ); document.write( "x^2 - y^2 = 40
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\n" ); document.write( "Replace x with (2y+1)
\n" ); document.write( "(2y+1)^2 - y^2 = 40
\n" ); document.write( "FOIL
\n" ); document.write( "4y^2 + 4y + 1 - y^2 = 40
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\n" ); document.write( "3y^2 + 4y + 1 - 40 = 0
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\n" ); document.write( "3y^2 + 4y - 39 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(3y + 13)(y - 3) = 0
\n" ); document.write( "the positive integer solution
\n" ); document.write( "y = 3
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\n" ); document.write( "Find x:
\n" ); document.write( "x = 2(3) + 1
\n" ); document.write( "x = 7
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\n" ); document.write( "Nos. are 7 and 3
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\n" ); document.write( "Check: 49 - 9 = 40 \n" ); document.write( "
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