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Question

The average of 12 numbers is 9. If each number is multiplied by 2 and added to 3, the average of the new set of numbers is

A
9
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B
18
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C
21
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D
27
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Solution

The correct option is C 21

Let the sum of 12 no. be x=x1+x2+........x12

average=sum of no.total no.

9=x12

sum=108

let sum of new numbers is

according to question

(x1×2+3)+(x2×2+3)+......(x12×2+3)


2×(x1+x2+.....x12)+12×3


sum=2×108+12×3=216+36=252

average=252/12=21

correct option is C.



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