Question

if 11x+11y is equal to 132 then find average value of x and y

Answer 1

Answer:

6

Step-by-step explanation:

11(x+y) = 132

x+y = 12

(x+y)/2 = 6

Answer 2

Answer :-

Average of x and y = 6

Explanation :-

Given :-

11x + 11y = 132

To find :-

Average of x and y

Solution :-

First find x + y

11x + 11y = 132

Taking 11 common LHS

⇒ 11(x + y) = 132

Transpose 11 to RHS (Multiplication becomes division)

⇒ x + y = 132/11

⇒ x + y = 12

Now find average of x and y

$\boxed{ \bf Average = \dfrac{Sum \: of \: observations}{Number \: of \: observations} }$

Here

Sum of observations = x + y

Number of oservations = 2

$\sf = \dfrac{x + y}{2} \\ \\ \\ \sf = \dfrac{12}{2} \\ \\ \\ \bf \because x + y = 12 \\ \\ \\ \sf = 6 \\ \\ \\ \huge{\boxed{ \sf Average \: of \: x \: and \: y = 6}}$