document.write( "Question 885834: The average (arithmetic mean) of 6,21,x and y is 13, where x and y are integers with a product of 100. What is the value of x? \n" ); document.write( "
Algebra.Com's Answer #535480 by dkppathak(439)\"\" \"About 
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The average (arithmetic mean) of 6,21,x and y is 13, where x and y are integers with a product of 100. What is the value of x?
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\n" ); document.write( "airthmatic mean = 6+21+X+Y/4= 13 (given)
\n" ); document.write( "6+21+X+Y= 52
\n" ); document.write( "X+Y=52-27
\n" ); document.write( "X +Y =25 (1)
\n" ); document.write( "Xy =100 (2)(second condition given)
\n" ); document.write( "X +Y =25
\n" ); document.write( "X=Y-25 by substituting in (2)
\n" ); document.write( "X Y =100
\n" ); document.write( "(y-25)y =100
\n" ); document.write( "Y^2 -25y =100
\n" ); document.write( "Y^2-25Y -100 =0 by factorization
\n" ); document.write( "Y^2-20Y-5Y-100=0
\n" ); document.write( "(y-5)(Y-20)=0
\n" ); document.write( "y=5 oy y =20
\n" ); document.write( "than X=20 or x=5
\n" ); document.write( "Answer X=20 and Y=5 or X=5 and Y=20
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