If the average (arithmetic mean) of t and t+2 is x and the average of t and t-2 is y, what is the average of x and y?

Question

Mathematics

Hannah

18 March, 21:30

If the average (arithmetic mean) of t and t+2 is x and the average of t and t-2 is y, what is the average of x and y?

+4

Answers (1)

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Danielle Sellers · Answer 1

t.

Step-by-step explanation:

(t + t + 2) / 2 = x

(2t + 2) / 2 = x

x = t + 1

(t + t - 2) / 2 = y

y = t - 1

So the average of x and y

= (x + y) / 2 = (t + 1 + t - 1) / 2

= 2y / 2

= t.