Question

The average of three numbers is 29. If the average of two numbers is 27,find the third number

Answer 1

complete question plz

Answer 2

The third number is 33.

Step-by-step explanation:

We are given the following in the question:

Average of three numbers = 29

Average of two numbers = 27

Let $x_1, x_2, x_3$ be three numbers.

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$\dfrac{x_1+x_2+x_3}{3}=29\\\\x_1+x_2+x_3 = 87\\\\\dfrac{x_1+x_2}{2}=27\\\\x_1+x_2 = 54\\\text{Subtracting the two equations, we get}\\x_1+x_2+x_3-(x_1+x_2) = 87-54\\x_3 = 33$

Thus, the third number is 33.

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