# The average of three numbers is #5#. If the sum of two of the numbers is #6#, what is the third number?

The third number is

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Let the three numbers be (x), (y), and (z). We have the following equations:

- ( (x + y + z) / 3 = 5 ) (Average of three numbers is 5)
- ( x + y = 6 ) (Sum of two numbers is 6)

From equation 2, we can express (x) in terms of (y): ( x = 6 - y )

Substitute (x = 6 - y) into equation 1: ( (6 - y + y + z) / 3 = 5 ) ( (6 + z) / 3 = 5 ) ( 6 + z = 15 ) ( z = 15 - 6 ) ( z = 9 )

So, the third number is 9.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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