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The average of 6 numbers is 18. If each number is increased by 5, what will be the new average?
Question

The average of 6 numbers is 18. If each number is increased by 5, what will be the new average?

A.

20

B.

25

C.

23

D.

18

Correct option is C

Given:

The average of 6 numbers is 18. Each number is increased by 5..

Solution:
Let the sum of the 6 numbers be S.
The average of these 6 numbers is given as 18, so:
S / 6 = 18
Therefore, S = 18 ×\times​ 6 = 108.
Now, each number is increased by 5. The new sum of the numbers will be:
New Sum = S + (5 ×\times​ 6) = 108 + 30 = 138.
The new average is the new sum divided by the number of numbers:
New Average = 138 / 6 = 23.

The new average is 23.

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