The average of five numbers is 87.8. The average of the first two numbers is 81.5 and the average of the last two numbers is 93.5. What is the third number?
Given:
Average of five numbers = 87.8
Average of first two numbers = 81.5
Average of last two numbers = 93.5
Formula Used:
Sum = Average × Number of terms
Solution:
Sum of all five numbers = 87.8 × 5 = 439
Sum of first two numbers = 81.5 × 2 = 163
Sum of last two numbers = 93.5 × 2 = 187
Sum of all five = (first two) + (third) + (last two)
439 = 163 + x + 187
x = 439 − 163 − 187 = 89
So, the third number is 89.
Thus, the correct option is (c) 89
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