document.write( "Question 883034: ms.boy's age pus twice arun's age is 85. the difference of a square is 2800. what are the ages? \n" ); document.write( "
Algebra.Com's Answer #533333 by ankor@dixie-net.com(22740)\"\" \"About 
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.boy's age plus twice arun's age is 85.
\n" ); document.write( "the difference of a square is 2800.
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\n" ); document.write( "let b = boy's age
\n" ); document.write( "let a = A's age
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\n" ); document.write( "write an equation for each statement (as I understand it)
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\n" ); document.write( "\"boy's age plus twice arun's age is 85.\"
\n" ); document.write( "b + 2a = 85
\n" ); document.write( "b = (-2a+85)
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\n" ); document.write( "\"the difference of their squares is 2800.\"
\n" ); document.write( "b^2 - a^2 = 2800
\n" ); document.write( "replace b with (-2a+85)
\n" ); document.write( "(-2a+85)^2 - a^2 = 2800
\n" ); document.write( "4a^2 - 340a + 7225 - a^2 = 2800
\n" ); document.write( "3a^2 - 340a + 7225 - 2800 = 0
\n" ); document.write( "3a^2 - 340a + 4425 = 0
\n" ); document.write( "Use the quadratic formula here, but this will factor to
\n" ); document.write( "(3a-295)(a-15) = 0
\n" ); document.write( "a = 15 is Arun's age (the only reasonable solution)
\n" ); document.write( "then
\n" ); document.write( "b = -2(15) + 85
\n" ); document.write( "b = 55 yrs is boy's age
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\n" ); document.write( "Check this on your calc: 55^2 - 15^2\r
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