# SAT Math Multiple Choice Question 694: Answer and Explanation

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**Question: 694**

**4.** The average (arithmetic mean) of a set of 3 positive integers is *m*. If the number 24 is added to this set, what is the average (arithmetic mean) of the new set of numbers?

- A.
- B.
- C.
*m*+ 8 - D.

**Correct Answer:** B

**Explanation:**

**B**

**Data Analysis (central tendency) EASY**

Let's call the 3 positive integers *a*, *b*, and *c*. If the average of these numbers is *m*, then

Multiply by 3:

*a* + *b* + *c* = 3*m*

New average when 24 is included in the set:

Substitute *a* + *b* + *c* = 3*m*: