If x1x2x3 = 4(4 + x1 + x2 + x3), then what is the value of [1/(2 + x1)] + [1/(2 + x2)] + [1/(2 + x3)] ?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 ie 1/2.
x1x2x3 = 4(4 + x1 + x2 + x3)
Assuming,
x1 = 4, x2 = 4, x3 = 4
Therefore, [1/(2 + x1)] + [1/(2 + x2)] + [1/(2 + x3)]
= 3 × (1/6)
= 1/2