Question

3) in winter the temperature at a hill
Station from monday to Friday is in A.P
The sum of the temperature of the mon.
day, tuesday and wednesday is zero
and sum of the temperature thursday
and Friday is 15 Find temperature of
5 day's.
ntad atd. ato​

Answer 1

Answer:

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Let the temperature of the hill station from Monday to Friday which form are A.P. is 

a−2d,a−d,a,a+d,a+2d

As per the first condition

a−2d+a−d+a=0

∴3a−3d=0

⇒3(a−d)=0

⇒(a−d)=0

∴a=d

As per the second condition

a+d+a+2d=15

∴2a+3d=15

⇒2a+3a=15(∵a=d)

⇒5a=15

⇒a=3

⇒d=3  (a=d)

∴a−2d=3−2(3)=3−6=−3

∴a−d=3−3=0

∴a+d=3+3=6

∴a+2d=3+2(3)=9

∴Temperature from Monday to Friday is −3∘C,0∘C,3∘C,6∘C,9∘C