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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?

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? Correct Answer 168

GIVEN:

Average of 30 numbers = 70

Largest number – Smallest number = 140

If the largest and the smallest number are excluded from the series, the average becomes 68

FORMULA USED:

Largest number = Sum of smallest and largest number + Difference of smallest and largest number/2

CALCULATION:

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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