The average temperature of a city for the first sixteen days of January is…
2024
The average temperature of a city for the first sixteen days of January is 22°C, and the average temperature for the last sixteen days of the same month is 26°C. If the average temperature for the entire month is 24°C, what is the temperature on the sixteenth day?
- A.
24°C
- B.
25°C
- C.
23°C
- D.
22°C
Attempted by 3 students.
Show answer & explanation
Correct answer: A
Understand the Timeline:
January has 31 days.
First 16 days (Day 1 to Day 16): Average = 22°C.
Last 16 days (Day 16 to Day 31): Average = 26°C.
Entire month (31 days): Average = 24°C.
Calculate Total Sums:
Total sum of first 16 days = 16 * 22 = 352
Total sum of last 16 days = 16 * 26 = 416
Total sum of the whole month (31 days) = 31 * 24 = 744
Isolate the 16th Day:
When we add the first 16 days and the last 16 days, the 16th day is counted twice.
Sum of (Day 1–16) + Sum of (Day 16–31) = 352 + 416 = 768
The actual sum of the 31 days is 744.
The difference between the combined sum and the actual month's sum is the temperature of the 16th day:
Temperature of Day 16 = 768 - 744 = 24°C