Correct Answer - Option 2 : 58
Given:
The average of four consecutive numbers = 55
Concept:
\(Average\ =\ {The\ sum\ of\ all\ the\ items \over The\ total\ number\ of\ item}\)
Calculation:
Let us assume the four consecutive even numbers are X, (X + 2), (X + 4), (X + 6),
⇒ \({X\ +\ X\ +\ 2\ +\ X\ +\ 4\ +\ X\ +\ 6\ \over 4}\ =\ 55\)
⇒ 4X + 12 = 220
⇒ 4X = 220 - 12
⇒ X = 208/4 = 52
⇒ The largest number = X + 6 = 52 + 6 = 58
∴ The required result will be 58.