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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

Question

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

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Solution

The problem can be solved in the following steps:

Step 1: Understand the problem The average of n numbers is x. This means that the sum of all the numbers is n*x.

Step 2: Subtract 36 from two numbers When 36 is subtracted from two of the numbers, the total sum of the numbers becomes nx - 236 = n*x - 72.

Step 3: Calculate the new average The new average after subtracting 36 from two numbers is (x-8). This means that the new sum (n*x - 72) divided by n equals (x-8).

Step 4: Set up the equation So, we have the equation: (n*x - 72)/n = x - 8.

Step 5: Solve the equation Solving this equation gives us: nx - 72 = nx - 8n. Simplifying this, we get 72 = 8n.

Step 6: Solve for n Finally, solving for n gives us: n = 72/8 = 9.

So, the value of n is 9.

This problem has been solved

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