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in Mathematics by (80.8k points)
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The sum of two numbers is B and the sum of their reciprocals is 8/15. find the numbers.

(A) 5, 3 

(B) 7, 1 

(C) 4, 4 

(D) 2, 6

1 Answer

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by (52.5k points)
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Best answer

The correct option is: (A) 5, 3 

Explanation:

Let the two numbers be x and y

According to the given conditions,

x + y = 8              ....(1)

and /x + 1/y = 8/15             .....(2)

Putting value of x = 8 - y in (2), we get

From(1),x = 3 or x = 5

Thus, the numbers are 5 and 3.

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