The average of nine numbers is 50. The average of the first five numbers is 54 and that of the last three numbers is 52. Then the sixth number is

Tina Singh • 10.85K Points
Tutor II Math

Q. The average of nine numbers is 50. The average of the first five numbers is 54 and that of the last three numbers is 52. Then the sixth number is

(A) 34
(B) 24
(C) 44
(D) 30

Correct Answer - Option(B)

Explanation by: Tina Singh

Required number = (Sum of all numbers) - [(Sum of first 5 numbers) + (Sum of last 3 numbers)
= 50 x 9 - ( 54 x 5 + 3 x 52)
= 450 - (270 + 156) = 450 - 426 ≈ 24

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