Question 876798
Just translate and then solve the system.
x+y=15 and xy=47.5


{{{y=-x+15}}}.
{{{x(-x+15)=47}}}
{{{-x^2+15x=47.5}}}
{{{x^2-15x+47.5=0}}}
{{{2x^2-30x+95=0}}}
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D=(-30)^2-4*2*95=900-8*95=140=2*5*2*7
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{{{x=(30+- sqrt(2*2*5*7))/(2*2)}}}
{{{x=(30+2sqrt(35))/4}}}
{{{x=(15+- sqrt(35))/2}}}
This in decimal approximation is either 4.54196 or 10.458.

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Those are the two numbers being searched.  {{{(15-sqrt(35))/2}}} and {{{(15+sqrt(35))/2}}}.