Question

The average of five quantities is 6. The average of two of them is 3. What is the average of the remaining three quantities?​

Answer 1

Answer:

6×5=30

2×3=6

30-6=24

24/3=8

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Answer 2

Given:

The average of five quantities is 6. The average of two of them is 3.

To find:

The average of the remaining three quantities.

Solution:

Let the five quantities be x, y, z, p and q.

The average of five quantities is 6.

So, we can write-

$\frac{x + y + z + p + q}{5} = 6 \\x + y + z + p + q = 30$

The average of two of them is 3.

So, we can write-

$\frac{p + q}{2} = 3 \\ p + q = 6$

Putting the value of p+q in the above equation we get-

$x + y + z + 6 = 30 \\ x + y + z = 24$

Thus, the average of the three quantities is as follows-

$\frac{x + y + z}{3} \\ \frac{24}{3} \\ = 8$

The average of the remaining three quantities is 8.