# The average of 7 consecutive numbers is 20

The average of 7 consecutive numbers is 20, then what will be the largest number among those numbers?

(a) 24

(b) 23

(c) 22

(d) 20

**Answer: (b) 23**

**Solution:-**

Let the seven consecutive numbers be X, X + 1, X + 2, X + 3, X + 4, X + 5 & X + 6.

Then, average of 7 consecutive numbers = 20

(X + X + 1 + X + 2 + X + 3 + X + 4 + X + 5 + X + 6)/7 = 20

7 X + 21 = 20 x 7

7 X = 140 – 21

X = 119/7

X = 17

Then, the largest number X + 6 = 17 + 6

= 23.

Hence, the correct answer is option (b) 23.