The average of n numbers is x. when 36 is subtracted from two of the numbers, the new average becomes (x-8).The value of n is:9465

The problem can be solved using the formula for the average of a set of numbers, which is the sum of the numbers divided by the quantity of numbers.

Step 1: The sum of the original n numbers is nx (since the average is x).

Step 2: When 36 is subtracted from two of the numbers, the total sum of the numbers decreases by 72 (since 36*2=72).

Step 3: The new average is (x-8), so the new sum of the numbers is n(x-8).

Step 4: We can set up the equation nx - 72 = n(x-8) to find the value of n.

Step 5: Simplify the equation to nx - n(x-8) = 72.

Step 6: Distribute the n to get nx - nx + 8n = 72.

Step 7: Simplify to 8n = 72.

Step 8: Divide both sides by 8 to get n = 9.

So, the value of n is 9.