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The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?

Correct Answer: 12⁄35

Explanation:

Let the numbers be a and b . Then, a + b = 12 and ab = 35.


∴ a + b = 12       ⟹   ❨ 1 + 1 ❩ = 12
ab 35 b a 35



∴ Sum of reciprocals of given numbers = 12
35
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