ktrout2020 wrote:The integers v, w, x, y and z are such that 0 < v < w < x < y < z. The average of these integers is 36 and median of these 5 integers is 28. What is the greatest possible value of Z?
a) 128
b) 130
c) 140
d) 132
e) 120
Source: Veritas
We are given that the average of v, w, x, y, and z is 36. Using the formula average = sum/number, we get:
36 = sum/5
180 = sum
We are also given that the median is 28 and need to determine the greatest value of z.
To maximize the value of a single number, we minimize the values of all the other numbers, in accordance with any constraints.
v = 1
w = 2
x = 28 = median
y = 29
Thus, v + w + x + y = 1 + 2 + 28 + 29 = 60. So, the largest possible value of z is 180 - 60 = 120.
Answer: E
