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The average temperature of Monday, Tuesday , Wednesday and Thursday is 60°. The average temperature for Tuesday, Wednesday, Thursday and Friday is 63°. If the ratio of temperature for Monday and Friday is 21 : 25, then what is the temperature of Friday ?
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- 70°
- 73°
- 75°
- 78°
- 70°
Correct Option: C
Let The temperature for Monday and Friday are 21y and 25y.
According to the question,
M + T + W + Th = 60 × 4 = 240° ..... (i)
T + W + Th + F = 63 × 4 = 252° ..... (ii)
By equation (ii) – (i),
F – M = 252° – 240° = 12°
⇒ 25y – 21y = 12°
⇒ 4y = 12° ⇒ y = 12 ÷ 4 ° = 3°
∴ Temperature on Friday = 25y = 25 × 3 = 75°