Question

if the average of x y and 9 is 12 , what is the average of x+2, y- 6and 10​

Answer 1

Answer:

11

Step-by-step explanation:

(x+y+9)/3 = 12

solving for (x+y)

x+y = 27 -----(1)

then, (x+2+y-6+10)/3 = a

(x+y+6) = 3a ----(2)

substitute the value of x+y from equation (1) into equation (2)

solving for value of (a), you get

a = 11

Answer 2

Answer:

The average of x+2 , y-6 and 10 is 11

Step-by-step explanation:

Given :

we are given that the average of x,y and 9 is 12

To Find :

The average of x+2,y-6 and 10

Solution :

The average of x, y and 9 is given 12

Since we know that The average = $\frac{\text{Sum of Quantitites}}{\text{The number of quantities}}$

Then the sum of given numbers = The average x Number of quantities

                                                      =  12  x 3

                                                      = 36

Here the sum of x , y and 9 is 36

or ,         x + y + 9 = 36

                x + y = 36 - 9

                x + y = 27                       .............Equation (1)

Since we have to find the average of x + 2 , y - 6 and 10

then the average =  $\frac{\text{Sum of Quantitites}}{\text{The number of quantities}}$

                             $=\frac{x+2+y-6+10}{3}$

                             $=\frac{x+y+2-6+10}{3}$

Substituting the value of x+y from the equation (1) we get

                             = $\frac{27+2-6+10}{3}$

                             $=\frac{33}{3}$

The average  = 11

Hence the average of x+2 , y-6 and 10 is 11

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