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