Question
The mean of fou numbers is 18, It one af the four numbers is removed, the mean of the
three remaining numbers is IV, What is the value of itse number that was removed?
three remaining numbers is IV, What is the value of itse number that was removed?
Ask by Rodriguez Weaver. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The number removed is 30.
Solution
Let’s break down the problem step by step:
-
Initial Information:
- Mean of four numbers: 18
- Total of four numbers:
-
After Removing One Number:
- Mean of the remaining three numbers: IV
- Interpretation: It seems there might be a typo here. If “IV” is intended to mean the Roman numeral for 4, the mean would be 4, which is possible but quite a significant drop from the original mean of 18.
- Alternative Interpretation: If “IV” was meant to represent “14” (possibly a typo), the calculations would proceed differently.
- Mean of the remaining three numbers: IV
-
Calculations Based on Both Interpretations:
-
If the mean is 4:
- Total of the remaining three numbers:
- Number removed:
- Total of the remaining three numbers:
-
If the mean is 14:
- Total of the remaining three numbers:
- Number removed:
- Total of the remaining three numbers:
-
-
Conclusion:
- Given the significant drop from a mean of 18 to 4, it’s more plausible that “IV” was intended to represent “14.” Therefore, the number removed is likely 30.
Answer: 30
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Bonus Knowledge
To solve the problem, let’s break it down! If the mean of four numbers is 18, then the sum of those four numbers is 4 times 18, which totals 72. Now, if we remove one number and the mean of the remaining three becomes 14, their sum must be 3 times 14, giving us a total of 42. To find the number that was removed, we simply subtract the sum of the remaining three numbers (42) from the original sum (72). So, 72 - 42 = 30. Therefore, the number that was removed is 30!
In number puzzles like this, it’s always helpful to define your variables and set up equations based on the information given. Common mistakes include forgetting to multiply when finding sums or miscalculating the average. Keeping track of your steps systematically can help avoid these errors and lead you to the answer faster!
