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The average temperature of the town in the first four days of month was 58 degrees. The average for the second, third, fourth and fifth days was 60 degrees. If the temperature of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day?

Correct Answer: 64 degrees
Sum of temperature on 1st, 2nd, 3rd and 4th days
= (58 × 4)
= 232 degrees
Sum of temperature on 2nd, 3rd, 4th and 5th days
= (60 × 4)
= 240 degrees
Subtracting (i) from (ii), we get :
Temperature on 5th day - Temperature on 1st day = 8 degrees
Let the temperature on 1st and 5th days be 7x and 8x degrees respectively.
Then,
⇒ 8x - 7x = 8
⇒ x = 8
∴ Temperature on the 5th day
= 8x
= 8 × 8
= 64 degrees

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