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

(a) 64 degrees 

(b) 62 degrees 

(c) 56 degrees 

(d) 48 degrees

1 Answer

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Answer is: (a) 64 degrees

Sum of temperatures on 1st, 2nd, 3rd and 4th days 

= (58 × 4) = 232 degrees           … (1) 

Sum of temperatures on 2nd, 3rd, 4th and 5th days 

= (60 × 4) = 240 degrees           …(2) 

Subtracting eqn. (1) from eqn. (2), we get 

Temp. on 5th day – Temp. on 1st = 8 degrees 

Given, Temp. on 1st day : Temp. on 5th day = 7 :8 

∴ 8x – 7x = 8 ⇒ x = 8

∴ Temperature on 5th day = 64 degrees

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