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The average of X natural numbers is 20. If 40 is added to the first number and 4 is subtracted from the last number, the average becomes 22. What is the value of X?
- a)18
- b)20
- c)22
- d)22.50
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The average of X natural numbers is 20. If 40 is added to the first nu...
X × 20 + 40 – 4 = X × 22
36 = 2X
X = 18
Hence, Option A is correct.
36 = 2X
X = 18
Hence, Option A is correct.
Most Upvoted Answer
The average of X natural numbers is 20. If 40 is added to the first nu...
Given Information:
- Average of X natural numbers = 20
- When 40 is added to the first number and 4 is subtracted from the last number, the average becomes 22
Solution:
Step 1: Initial Average Calculation
Let the sum of X natural numbers be S.
The average of X natural numbers = Sum of X natural numbers / X = S / X = 20
Therefore, S = 20X
Step 2: Updated Average Calculation
When 40 is added to the first number and 4 is subtracted from the last number, the new sum becomes S + 40 - 4 = S + 36.
The new average = (S + 36) / X = 22
Step 3: Solve for X
From the given information, we have:
(S + 36) / X = 22
Substitute the value of S from Step 1:
(20X + 36) / X = 22
20 + 36 / X = 22
56 / X = 22
X = 56 / 22 = 18
Therefore, the value of X is 18, which corresponds to option (a).
- Average of X natural numbers = 20
- When 40 is added to the first number and 4 is subtracted from the last number, the average becomes 22
Solution:
Step 1: Initial Average Calculation
Let the sum of X natural numbers be S.
The average of X natural numbers = Sum of X natural numbers / X = S / X = 20
Therefore, S = 20X
Step 2: Updated Average Calculation
When 40 is added to the first number and 4 is subtracted from the last number, the new sum becomes S + 40 - 4 = S + 36.
The new average = (S + 36) / X = 22
Step 3: Solve for X
From the given information, we have:
(S + 36) / X = 22
Substitute the value of S from Step 1:
(20X + 36) / X = 22
20 + 36 / X = 22
56 / X = 22
X = 56 / 22 = 18
Therefore, the value of X is 18, which corresponds to option (a).
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The average of X natural numbers is 20. If 40 is added to the first number and 4 is subtracted from the last number, the average becomes 22. What is the value of X?a)18b)20c)22d)22.50Correct answer is option 'A'. Can you explain this answer?
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