A positive number when decreased by 4, is equal to 21 times the reciprocal of t

Question

A positive number when decreased by 4, is equal to 21 times the reciprocal of the number. The number is:

Options:

A . 3

B . 5

C . 7

D . 9

Answer: Option C

Number be x.
X “ 4 = 21/x
=> x² “ 4x “ 21 = 0
=> x² “ 7x + 3x “ 21 = 0
=> x (x - 7) + 3 (x - 7) = 0
=> (x - 7) (x + 3) = 0
=> x = 7 (neglecting x = - 3)

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