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The average of first three numbers of a set of six numbers is 60. The average of the second, third and fourth numbers is 20 and the average of the third, fourth and fifth numbers is 30. The average of last three numbers is 40. What is the average of first, fifth and sixth number of the set?

The average of first three numbers of a set of six numbers is 60. The average of the second, third and fourth numbers is 20 and the average of the third, fourth and fifth numbers is 30. The average of last three numbers is 40. What is the average of first, fifth and sixth number of the set? Correct Answer 80

GIVEN:

Average of first 3 numbers = 60

Average of 2nd, 3rd and 4th number = 20

Average of 3rd, 4th and 5th number = 30

Average of last three numbers = 40

FORMULA USED:

Average = Sum of the number / Total number

CALCULATION:

Let the six numbers be a, b, c, d, e, f.

a + b + c = 3 × 60 =180       ----(1)

b + c + d = 3 × 20 = 60       ----(2)

c + d + e = 3 × 30 = 90       ----(3)

d + e + f = 3 × 40 = 120       ----(4)

Sum of first, fifth and sixth number may be obtained by (1) + (4) - (2) = a + b + c + d + e + f - (b + c + d) = 180 + 120 - 60 = 240

∴ Average of a, e, and f = 240/3 = 80

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