Average Calculation Strategy
We are given four numbers, A, B, C, and D.
- The overall average of these four numbers is 16.
- The average of A and B is 9.5.
- We need to find the average of C and D.
Calculating Sums from Averages
The definition of average is the sum of numbers divided by the count of numbers.
Overall average: $ \frac{A + B + C + D}{4} = 16 $ Therefore, the sum of the four numbers is: $ A + B + C + D = 16 \times 4 = 64 $
Average of A and B: $ \frac{A + B}{2} = 9.5 $ Therefore, the sum of A and B is: $ A + B = 9.5 \times 2 = 19 $
Finding the Average of C and D
Now, we can find the sum of C and D by subtracting the sum of A and B from the overall sum:
Sum of C and D: $ (C + D) = (A + B + C + D) - (A + B) $ $ C + D = 64 - 19 = 45 $
Finally, the average of C and D is their sum divided by 2:
Average of C and D: $ \frac{C + D}{2} = \frac{45}{2} = 22.5 $
Similar Questions
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Important Questions from Average
Average of 40 numbers is 71, if the number 100 replaced by 140, then average is increased by
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2. The average score of Class-A will definitely increase.
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