Total Reciprocals

Find the sum of the reciprocals of two real numbers, given that these numbers have a sum of 150 and a product of 40.
Source: mathcontest.olemiss.edu 7/9/2007

SOLUTION
Let x\textup{ and }y be two real numbers. Then,

\frac{1}{x}+\frac{1}{y}=\frac{x+y}{xy}
=\frac{150}{40}
=\frac{15}{4}

Answer: \frac{15}{4}.

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About mvtrinh

Retired high school math teacher.
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