Question
The average of a series of 30 numbers is 70. The
difference between the largest number and the smallest number is 140. If the largest and the smallest number are excluded from the series, the average becomes 68. What is the largest number of the original series?Solution
Sum of smallest and largest number = 30 × 70 – 28 × 68 = 196 Difference of smallest and largest number = 140 ∴ Largest number = (196 +140)/2 = 168
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