The average of four consecutive even numbers is 47. The largest of these…

Given:

Average of 4 consecutive even numbers is 47.

Formula Used:

Average = Sum of all observations/Total number of observations

Calculation:

Let the four consecutive even terms be x, x + 2, x + 4, x + 6

According to the question,

⇒ 47 = (x + x + 2 + x + 4 + x + 6)/4

⇒ 47 = (4x + 12)/4

⇒ 188 = 4x + 12

⇒ 4x = 176

⇒ x = 44

Largest number, x + 6,

⇒ 44 + 6 = 50

∴ The largest number is 50.