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
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.
Similar Questions
The average of eight numbers is 104. The average of six of these numbers is 116. Then the greater number of the two numbers is:
The average of eight numbers is 14. The average of six of these numbers is 16. The average of the remaining two numbers is:
Suppose n is a number such that the mean (average) of the list of numbers 2, 9, 4, n, 2nis equal to 6. What is the value of n?
The average of 9 numbers is 14. If each number is increased by 4, the new average will be
Average of 9 numbers is 83. The average of first 2 numbers is 74 while the average of next 4 is 92. If the 8th number is 4 more than the seventh and 2 more than the ninth number, find the eight number?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.