Question:

The average of four numbers is 25. The average of three of these numbers is 20.
Quantity A: The value of the fourth number
Quantity B: 35

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When averages of subsets are given, always compute the total sum first and then isolate the required number.
Updated On: Sep 30, 2025
  • Quantity A is greater.
  • Quantity B is greater.
  • The two quantities are equal.
  • The relationship cannot be determined.
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The Correct Option is C

Solution and Explanation

Step 1: Use average formula.
Sum of 4 numbers = \( 25 \times 4 = 100 \).
Sum of 3 numbers = \( 20 \times 3 = 60 \).
Step 2: Find fourth number.
Fourth number = \( 100 - 60 = 40 \).
Step 3: Compare with Quantity B.
Quantity A = 40, Quantity B = 35. Clearly, \( 40>35 \).
Final Answer: \[ \boxed{\text{Quantity A is greater.}} \]
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