The mean and median of integers x, y, z and t are 5 and z respectively. If x < y < z < t and y = 4, find (x + t).
-
A.
12 -
B.
11 -
C.
10 -
D.
8
Correct Answer: Option A
Explanation
(Mean : frac{x + 4 + z + t}{4} = 5 implies x + 4 + z + t = 20)
(implies x + z + t = 16 … (1))
(Median : frac{4 + z}{2} = z implies 4 + z = 2z)
(4 = z)
From 1,
(implies x + 4 + t = 16 )
(x + t = 12)