Question
The average of five consecutive even numbers is 20. Find
the second largest number.Solution
ATQ,
Let the first number be 'x'
Therefore, the five consecutive even numbers will be 'x', (x + 2), (x + 4), (x + 6), (x + 8)
ATQ:
x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 5 Γ 20
Or, 5x + 20 = 100
Or, 5x = 100 - 20
Or, 5x = 80
Or, x = 80 Γ· 5 = 16
Therefore, the first number = 16
Second largest number = (x + 6) = 16 + 6 = 22
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