document.write( "Question 1054816: the sum of each pair of positive integers X,Y that satisfy 3X + 4Y = 50 is computed. What is the largest such sum? \n" ); document.write( "

Algebra.Com's Answer #670010 by Fombitz(32388) $\"\"$ $\"About$

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$\"4Y=50-3X\"$
\n" ); document.write( "The right hand side must be even to be divisible by 2 so X must be even.
\n" ); document.write( "Then only every other one is divisible by 4.
\n" ); document.write( "So then starting at $\"X=2\"$ , you get $\"4Y=50-6=44\"$ , $\"Y=11\"$
\n" ); document.write( "So then $\"X=6\"$ ,
\n" ); document.write( " $\"X=10\"$
\n" ); document.write( " $\"X=14\"$ are also values that satisfy.
\n" ); document.write( "When $\"X%3E16\"$ they are no longer a pair of positive integers.
\n" ); document.write( "So then,
\n" ); document.write( "(2,11) : $\"2%2B11=13\"$
\n" ); document.write( "(6,8): $\"6%2B8=14\"$
\n" ); document.write( "(10,5): $\"10%2B5=15\"$
\n" ); document.write( "(14,2): $\"14%2B2=16\"$ \r
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