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average of 9 numbers is 35. average of first 5 numbers is 32. average of last 5 numbers is 37. if 5th no. is removed then find the new average of 8 numbers

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The new average of 8 numbers after removing the 5th number is 36.25.

Given:

The average of 9 numbers is 35.

The average of the first 5 numbers is 32.

The average of the last 5 numbers is 37.

We need to find the new average of 8 numbers if the 5th number is removed.

Let's represent the sum of the 9 numbers as 'S'. We can express the given information using the following equations:

S/9 = 35

(S - 5x)/5 = 32

(S - 5x)/5 = 37

Where 'x' represents the 5th number.

Solving for 'x', we get:

x = 5

Now, we can find the sum of the remaining 8 numbers:

S - 5x = (35 * 9) - (5 * 5) = 290

Finally, we can calculate the new average of 8 numbers:

(S - 5x)/8 = 290/8 = 36.25

Therefore, the new average of 8 numbers after removing the 5th number is 36.25.

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