The average of 7 consecutive numbers is 16. What is the largest number?

M4maths Previous Puzzles

31 Aug 2018 Average

The average of 7 consecutive numbers is 16. What is the largest number?

OPtion

1) 11
2) 12
3) 14
4) 15
5) 13
6) 16
7) 17
8) 19
9) 18
10) None of these

Solution

Let the numbers be x, x + 1, x + 2, x + 3, x + 4, x + 5 and x + 6,

Then (x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6)) / 7 = 16.

=> 7x + 21 = 112
=> x = 13

Largest number = x + 6 = 13+6 = 19.

Correct Option: 8 Best Solution (7)