The average temperature of Gwalior, Agra and Lucknow is 37° C. The average temperature of Agra, Gwalior and Delhi is 38° C. If the temperature of Delhi is 39°C, find the ratio of temperature of Delhi to that of Lucknow ?

Average temperature of Gwalior, Agra and Lucknow is 37° C

=> Sum of temperatures of Gwalior, Agra and Lucknow = $$G + A + L = 37 \times 3 = 111$$ -----------(i)

Similarly, $$G + A + D = 38 \times 3 = 114$$ ----------(ii)

It is given that temperature of Delhi, $$D = 39$$

Putting it in eqn(ii), => $$G + A = 114 - 39$$

=> $$G + A = 75$$

Now, putting above value in equation (i), we get :

=> $$L = 111 - 75 = 36$$

$$\therefore$$ Ratio of temperature of Delhi to that of Lucknow = $$\frac{D}{L}$$

= $$\frac{39}{36} = \frac{13}{12}$$

= $$13 : 12$$