Question

The average temperature of Monday to Wednesday was 37°C and of Tuesday to Thursday was 34°C. If the temperature on Thursday was \(\frac{4}{5}\) that of Monday, what was the temperature on Thursday ?

Answer 1

Let the temperatures on Monday, Tuesday, Wednesday and Thursday be M, T, W and Th respectively. Then, 

M + T + W = 3 × 37°C = 111°C         … (i) 

T + W + Th = 3 × 34°C = 102°C       … (ii)

⇒ Eq (i) – Eq (ii) 

⇒ M – Th = 111°C – 102°C = 9°C 

Also given, Th = \(\frac45\) M ⇒ M – \(\frac45\) M = 9 ⇒ \(\frac{M}5\) = 9 ⇒ M = 45°C 

∴ Temperature on Thursday = 4 5 × 45°C = 36°C.