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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?

SSC · 2024 · Quantitative Aptitude
Question:
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?

Options

(1) 24°C
(2) 25°C
(3) 23°C
(4) 22°C
Answer: (1) 24°C

Explanation:
Total for 31 days = 31 × 24 = 744. First 16 days = 16 × 22 = 352. Last 16 days = 16 × 26 = 416. 16th day counted twice: 352 + 416 - x = 744, so x = 24°C.

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