The average of eleven consecutive even numbers is 24.What is the difference between the highest and the lowest numbers?

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The average of eleven consecutive even numbers is 24.What is the difference between the highest and the lowest numbers?

A20

B18

C10

Dcan not be determined

Answer:

A. 20

Read Explanation:

Sum of 11 consecutive even number is = 24 × 11 = 264 Sn = n/2(2a+(n−1)d) 264 = 11/2(2a + 10 × 2) 264 = 11/2(2a + 20) 2a + 20 = 48 a = 14 highest = 34 Difference = 34 - 14 = 20

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