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Maths Problem of the Week

the Mean of Two Unknown Numbers


> Home > MPotW > 05/07/22 >

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If

1 x + 1 y = 10

and

x y = 10

What is the mean of x and y ?

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Solution

The mean x-=x+y2
Multiplying both parts of the quotient by xy gives
x- = (x+y)xy2xy = 12 ( 1 x + 1 y ) xy
Substituting the values given we get x- = 10×10 2 = 50

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