The sum of two nomber is 11and their product is 24.what is the sum of the reciprocals of these numbers?
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Let the numbers be x and y.
Their sum is x + y
==> x + y =11=========================>(1)
Now product = x y
==> x y = 24==========================>(2)
Sum of reciprocal = 1 / x + 1 / y
==> ( x + y ) / x y
==> From (1) and (2) we get:
==> 11 / 24
The answer is 11 / 24
Hope it helps
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