SOLUTION: The average of four numbers is 24. if the largest number is left out , the average is 20. . if the smallest is left out , the average is 30. what is the average of the middle tw

Question 306207: The average of four numbers is 24. if the largest number is left out , the average is 20. . if the smallest is left out , the average is 30. what is the average of the middle two numbers ?
a 25 b 26 c 27 d 28 e none of these

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let A,B,C,D be your numbers in increasing value.

Let's substitute,

.
.
.
1.
2.
3.
From eq. 2,

From eq. 3,

Substitute these into eq. 1,

So then

We're looking for

.
.
.
c) is the correct answer.
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