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The Mean of 6 numbers is 18. If one more number is included, the mean of the 7 numbers will be 20. What is the number that is included?
Question

The Mean of 6 numbers is 18. If one more number is included, the mean of the 7 numbers will be 20. What is the number that is included?

A.

30

B.

32

C.

20

D.

10

Correct option is B

Given:
Mean of 6 numbers = 18
Mean of 7 numbers (after including one more number) = 20
Formula Used:
Mean = Sum of numbersNumber of terms\frac{\text{Sum of numbers}}{\text{Number of terms}}
Solution:
Sum of 6 numbers =Mean×Number of terms=18×6=108 \text{Mean} \times \text{Number of terms} = 18 \times 6 = 108
Sum of 7 numbers = 20×7=14020 \times 7 = 140
Included number = Sum of 7 numbers - Sum of 6 numbers = 140 - 108 = 32

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