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The average of five consecutive even numbers is 56. Find the largest numbers 
1. 60
2. 24
3. 46
4. 78

1 Answer

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Best answer
Correct Answer - Option 1 : 60

Given

Average of five consecutive even numbers = 56

Formula used

Average = (sum of all observation)/Number of observation

Calculation

Let the five even numbers are x, x + 2, x + 4, x + 6 and x + 8

Average = (x + x + 2 + x + 4 + x + 6 + x + 8)/5

⇒ 56 = (5x + 20)/5

⇒ 280 = 5x + 20

⇒ 280 - 20 = 5x

⇒ 260 = 5x

⇒ 260/5 = x

⇒ 52 = x

∴ Largest number is 60[i.e (52 + 8)]

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