The sum of two numbers is 40 and their product is 375. What will be the sum of their reciprocals ?
A. $$\frac{1}{40}$$
B. $$\frac{8}{75}$$
C. $$\frac{75}{4}$$
D. $$\frac{75}{8}$$
Answer: Option B
Solution (By Examveda Team)
Let the numbers be x and yThen,
x + y = 40 and xy = 375
$$\eqalign{ & \therefore \frac{1}{x} + \frac{1}{y} = \frac{{x + y}}{{xy}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{40}}{{275}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{8}{{75}} \cr} $$
This Question Belongs to Arithmetic Ability >> Problems On Numbers
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