document.write( "Question 53205: the sum of two numbers is 156 there product is 900 \n" ); document.write( "
Algebra.Com's Answer #35460 by rajagopalan(174)\"\" \"About 
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the sum of two numbers is 156 there product is 900
\n" ); document.write( "now factorise the product
\n" ); document.write( "it composes of 2x2x3x3x5x5 as prime factors
\n" ); document.write( "then decompose this into two groups to give a sum 156
\n" ); document.write( "for eg 2x3=6 and the balance 2x3x5x5=150 summing 6+150=156
\n" ); document.write( "now the answer is 150 and 6.\r
\n" ); document.write( "\n" ); document.write( "algebraically also
\n" ); document.write( "x*y=900 ..eqn 1
\n" ); document.write( "x+y=156...eqn 2
\n" ); document.write( "from eqn 1 x=900/y
\n" ); document.write( "sub this in eqn 2
\n" ); document.write( "(900/y)+y=156 ..eqn3
\n" ); document.write( "expanding and solving the quadratic also you get 150 & 6 as solution.\r
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