Question

The average (arithmetic mean) of (t) and (y) is 15, and the average of (w) and (x) is 15. What is the average of (t), (w), (x), and (y)?

Answer 1

To find the average of t, w, x, and y, add the numbers together and divide by 4.

Step-by-step explanation:

To find the average of t, w, x, and y, we need to first find the total sum of the four numbers and then divide the sum by 4. Since the average of t and y is 15, and the average of w and x is also 15, we can set up two equations:

(t + y)/2 = 15

(w + x)/2 = 15

Multiplying both equations by 2 gives:

t + y = 30

w + x = 30

We can then add these two equations together:

(t + y) + (w + x) = 30 + 30

t + y + w + x = 60

Finally, we divide the sum by 4 to find the average:

(t + y + w + x)/4 = 60/4

Average = 15