document.write( "Question 54373: A positive number is three more than twice another number. Their product is 10 more than the square of the smaller number. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #36835 by anjulasahay(30)\"\" \"About 
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A positive number is three more than twice another number. Their product is 10 more than the square of the smaller number. Find the numbers.
\n" ); document.write( "ans:let the two numbers be x and y.
\n" ); document.write( "then according to the problem x = 2*y+3
\n" ); document.write( " it is clear from the above expression that x > y (it can be checked by putting y = 0,1,2...)
\n" ); document.write( "hence from the problem we can write that
\n" ); document.write( " x*y = y^2+10
\n" ); document.write( " (2*y+3)*y=y^2+10
\n" ); document.write( " 2y^2+3y=y^2+10
\n" ); document.write( " y^2+3y-10=0
\n" ); document.write( " y^2+5y-2y-10=0
\n" ); document.write( " y(y+5)-2(y+5)=0
\n" ); document.write( " (y-2)(y+5) = 0
\n" ); document.write( " y = 2 or -5
\n" ); document.write( " and x = 7 or -7
\n" ); document.write( "hence hence the two numbers are either ( 7 and 2 ) or (-5 and -7)\r
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