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Two Third of a Positive Number and 25/216 of Its Reciprocal are Equal. The Number is?

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Explanation

Two third of a positive number and 25/216 of its reciprocal are equal. The number will be figure out in this way.

Let suppose the positive number is y.

Two third of a positive number

y x 2/3

25/216 of 1/y

1/y x 25/216

Now

y x 2/3 = 1/y x 25/216 ________ (i)

Through equation (i) we can easily find out the value of y (y = 5/12).

To Find

Number = ?

Solution

Let suppose

Number = y

According to the given condition

y x 2/3 = 1/y x 25/216

2y/3 = 25/216y

216y(2y) = 3(25)

432y2 = 75

y2 = 75/432

y2 = 25/144

y = 5/12

Required Number = 5/12 answer

Conclusion

Two third of a positive number and 25/216 of its reciprocal are equal. The number is 5/12.

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