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If the average (arithmetic mean) of x, y, and 20 is 10 greater than the average of x, y, 20, and 30, what is the average of x and y?

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1 vote

Answer:

The average of x and y is 95.

Explanation:

Given : If the average (arithmetic mean) of x, y, and 20 is 10 greater than the average of x, y, 20, and 30.

To find : What is the average of x and y?

Solution :

Average is the sum of observation divided by number of observation.

According to question,


(x+y+20)/(3)=10+((x+y+20+30)/(4))


(x+y+20)/(3)=(40+x+y+20+30)/(4)


(x+y+20)/(3)=(x+y+90)/(4)


4(x+y)-3(x+y)=3(90)-20(4)


x+y=190

Divide equation by 2,


(x+y)/(2)=(190)/(2)


(x+y)/(2)=95

Therefore, the average of x and y is 95.

User Michel Tol
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