Let the number be x. Its reciprocal will be 1/x

As per the given condition x- 15(1/x) = 2

Multiply both sides of the equation by x. The equation would become,

x² – 15 =2x

Or, x² -2x – 15 = 0

Or, (x-5) (x + 3) = 0

Hence, x= 5 , -3

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