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Six numbers average 30. Four of them are 24, 28, 35 and 41, and the remaining two are equal to each other. What is each of those two numbers?

Competition practiceAverages & Ages
  • A52
  • B26
  • C13
  • D30

Step-by-Step Solution

All six total and the four given numbers total 24 + 28 + 35 + 41 = 128, so the two equal numbers together make 52 and each is 52/2 = 26. Check: 24 + 28 + 35 + 41 + 26 + 26 = 180. 52 is the pair's combined value, one step short of the answer. 13 divides that 52 by 4 instead of by 2. 30 assumes any unknown member of a set must equal the average, which is true only when every member does.
Answer: B) 26

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