Question 1061661
{{{system(x+y=27,1/x+1/y=3/20)}}}


{{{y+x=(3/20)xy}}}

{{{20y+20x=3xy}}}



{{{y=27-x}}}
substitute into the fraction equation.
{{{20(27-x)+20x=3x(27-x)}}}
{{{540-20x+20x=81x-3x^2}}}
{{{540=81x-3x^2}}}
{{{180=27x-x^2}}}
{{{-x^2+27x-180=0}}}
{{{x^2-27x+180=0}}} which is factorable.
{{{(x-12)(x-15)=0}}}
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{{{system(x=12,OR,x=15)}}}.


The two numbers are 12 and 15.