Question

the mean of five numbers is 50. the mean of the largest two numbers is 65. what is the mean of the other three numbers?

Answer 1

Mean of 5 numbers = 27

Sum of 5 numbers = 27×5 = 135

After excluding one number,

Mean of 4 numbers= 25

Sum of 4 numbers = 4×25 = 100

Thus, the number excluded was = 135−100=

Answer 2

Answer:

40

Step-by-step explanation:

mean = sum of the terms / number of terms

in first case mean = 50, number of terms = 5

let us take sum of the 5 terms as x

∴ 50 = x/5

=} x = 50 x 5

=} x = 250

∴ sum of the 5 terms = 250 ------------- (1)

now in 2nd case let us find the sum of largest 2 numbers

mean = 65, number of terms = 2

let the sum of the largest 2 numbers be y

∴65 = y/2

=} y = 65 x 2

=} y = 130

∴sum of largest 2 numbers = 130 -----------------(2)

now subtract (1) and (2) to find the sum of other 3 terms

=} 250 - 130

=} 120

∴ sum of other 3 terms = 120

now in 3rd case(to find the final answer)

we have sum of 3 term = 120 and number of terms = 3

∴ mean = 120/3

=} mean = 40

hope it helped you i simplified the answer as much i can, I hope you understood it

have a good day