சனி, 28 டிசம்பர், 2019

In a winter season let us take the temperature of Ooty from Monday to Friday to be in A.P. The sum of temperatures from Monday to Wednesday is 0° C and the sum of the temperatures from Wednesday to Friday is 18° C. Find the temperature on each of the five days.

In a winter season let us take the temperature of Ooty from Monday to Friday to be in A.P. The sum of temperatures from Monday to Wednesday is 0° C and the sum of the temperatures from Wednesday to Friday is 18° C. Find the temperature on each of the five days.
Solution :
Let the temperature of Ooty from Monday to Friday are
a - 2d, a - d, a, a + d , a + 2d
a - 2d + a - d + a  = 0
3a - 3d  = 0  
a - d  = 0 ---(1)
a + a + d + a + 2d  = 18
3a + 3d  = 18
a + d  = 6 ---(2)
(1) + (2)
a + a  = 6
2a  = 6
a  = 3
By applying the value of a in (1), we get
3 + d  = 6
d  = 6 - 3
d  = 3

Days
Monday
Tuesday
Wednesday
Thursday
Friday
Temperature
a - 2d  = 3 - 2(3)  =  -3° C 
a - d  = 3 - 3  = 0° C 
a  = 3° C 
a + d = 3 + 3  = 6° C 
a + 2d  = 3 + 2(3)  =  9° C