SSAT Math Question 336: Answer and Explanation

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Question: 336

5. Which of the following must be true if two numbers, F and G, have an average of 60 and F is less than G?

  • A. F = 60 and G = 60
  • B. F – G = 60
  • C. F + G = 60
  • D. F = 60 + G

Correct Answer: E

Explanation:

The answer is E

Start by writing the average equation: = 60. Then multiply both sides by 2: F + G = 120. Check the answers. Choice (A) is wrong because F < G. None of choices (B), (C), and (D) match either of the equations you wrote. Choice (E) may look weird at first, but F + G = 120 is the same as F + G = 60 + 60. If you subtract G and 60 from both sides, you create choice (E).

Plug in numbers for F and G, following the restrictions given, such as F = 50 and G = 70. Only choice (E) is valid when you plug F and G into the answer choices.

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