Question
The average of five consecutive prime numbers is 11. Find
the third number.Solution
ATQ,
Let the first prime number be 'x'
Therefore, the five consecutive prime numbers will be 'x', (x + 2), (x + 4), (x + 6), (x + 8)
ATQ:
x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 5 × 11
Or, 5x + 20 = 55
Or, 5x = 55 - 20
Or, 5x = 35
Or, x = 35 ÷ 5 = 7
Therefore, the first number = 7
Third number = (x + 4) = 7 + 4 = 11
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