The mean of three numbers $\frac{a}{3}$, b and c is the same as the mean of the numbers $\frac{b}{3}$, $\frac{c}{3}$and x. The value of 3x is (where a, b, c are positive numbers):
Answer & explanation
Correct answer: option 2
Given :-
\(\frac{a/3 + b + c }{3}\) = \(\frac{b/3 + c/3 + x}{3}\)
\(\frac{a}{3}\) + b + c = \(\frac{b}{3}\) + \(\frac{c}{3}\) + x
a + 3b + 3c = b + c + 3x
3x = a + 2b + 2c
So , a + 2b + 2c is correct answer .