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The sum and product of two numbers are 15 and 54 respectively. What will be the sum of their reciprocals?
1. 5/18
2. 7/24
3. 12/13
4. 13/15

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Correct Answer - Option 1 : 5/18

Given:

Sum of numbers = 15

Product of numbers = 54

Calculation:

Let the numbers be x and y

x + y = 15 

xy = 54

According to question we have to find 1/x + 1/y

⇒ 1/x + 1/y = (y + x)/xy 

⇒ 1/x + 1/y = 15/54 = 5/18

∴ Sum of their reciprocal is 5/18.

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