The mean of six numbers is 14. If one of the six numbers is removed, the mean becomes \(10\). What is the value of the number removed?
Let a, b, c, d, e, x be the 6 numbers, with x being the number that is removed.
\(\begin{cases}\dfrac{a + b + c + d + e + x}6 = 14\\\dfrac{a + b +c + d + e}5 = 10\end{cases}\)
That means a + b + c + d + e = 50. Substitute that into the first equation to get \(\dfrac{50 + x}6 = 14\).
Can you work out the value of x from here? That is the number that was removed.