The mean of three numbers a/3, b, and c is the same as the mean of the numbers b/3, c/3, and x. The value of 3x is (where a, b, and c are positive numbers)
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. a + 2b + 2c.
Given that,
Mean of a/3, b, c = Mean of b/3, c/3, x
⇒ (a/3 + b + c)/3 = (b/3 + c/3 + x)/3
⇒ (a + 3b + 3c) = (b + c + 3x)
⇒ 3x = a + 2b + 2c
Hence, the required answer is a + 2b + 2c.