Kargil's temperature was recorded in a week from Monday to Saturday. All reading were in A.P. The sum of temperature of monday and Saturday was 5℃ more than sum of temperature of Tuesday and Saturday. If temperature of wednesday was -30℃ Celsius then find the temperature on the other five days
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The temperatures are in A.P.
a = First term
d = common difference
Monday = a
Tuesday = a + d
Wednesday = a + 2d
Thursday = a + 3d
Friday = a + 4d
Saturday = a + 5d
The sum of temperature of Monday and Saturday was 5℃ more than sum of temperature of Tuesday and Saturday.
a + (a + 5d) = (a + d) + (a + 5d) + 5
a = (a + d) + 5
a = a + d + 5
0 = d + 5
d = -5
If temperature of Wednesday was -30℃ Celsius
a + 2d = -30
a + 2(-5) = -30
a – 10 = -30
a = -20
The temperature on the other five days
Monday = -20
Tuesday = -20 + (-5) = - 25 degrees Celsius
Thursday = -20 + 3(-5) = - 35 degrees Celsius
Friday = -20 + 4(-5) = - 40 degrees Celsius
Saturday = -20 + 5(-5) = - 45 degrees Celsius
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