Question
The sum of two numbers is 30 whereas the sum of their
reciprocals is (12/5). Find the square of the product of the two numbers.Solution
ATQ,
Let the two numbers be 'x' and 'y'.
So, x + y = 30
And (1/x) + (1/y) = (12/5)
Or, {(x + y)/(xy)} = (12/5)
Or, xy = (5/12) × 30 = (25/2)
So, required square = (25/2)² = (625/4)
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