Find a positive number which, when 17 is added to it, equals 60 times the reciprocal of the number.
A
17
B
20
C
10
D
3
Correct Option:
D
Explanation
Let the positive number be x. The condition gives x + 17 = 60/x. Therefore, x² + 17x - 60 = 0 = (x + 20)(x - 3). Hence x = 3 or -20. Because a positive number is required, the answer is 3.