The average temperature of Delhi of Monday, Tuesday, Wednesday and Thursday was 58° C. The average temperature of Tuesday, Wednesday, Thursday and Friday was 60°C. If the temperatures of Monday and Friday were in the ratio of 7:8, then what was the temperature of Friday?
Correct Answer: Option B
We know that:
\(Average = \frac{{sum\ of\ elements}}{{number\ of\ elements}}\)
⇒ Monday + Tuesday + Wednesday + Thursday = 58 × 4 = 232 ________ (1)
⇒ Tuesday + Wednesday + Thursday + Friday = 60 × 4 = 240 ________ (2)
⇒ Monday : Friday = 7 : 8 _________(3)
Now, subtracting equation (1) from equation (2), we get
⇒ Monday \(= \frac{8}{{\left( {8 - 7} \right)}} \times 7 = 56\)
⇒ Friday \(= \frac{8}{{\left( {8 - 7} \right)}} \times 8 = 64\)
∴ Temperature on Friday was 64°C
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