Question
The sum of two numbers is 60 whereas the sum of their
reciprocals is (20/9). Find the square of the product of the two numbers.Solution
ATQ,
Let the two numbers be 'r' and 's'.
So, r + s = 60
And (1/r) + (1/s) = (20/9)
Or, {(r + s)/(rs)} = (20/9)
Or, rs = (9/20) × 60 = 27
So, required square = 27² = 729
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