5.
Kargil's temperature was recorded in a week from Monday to Saturday. All
readings were in A.P.The sum of temperatures of Monday and Saturday was
5° C more than sum of temperatures of Tuesday and Saturday. If temperature of
Wednesday was -30° celsius then find the temperature on the other five days.
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Answer:
Let the temperature of monday tuesday wednesday, thursday friday and saturday be a,a+d,a+2d,a+3d,a+4d,a+4d,a+5d
all readings were in A.P
By 1st condition
sum of temperature of monday, saturday=sum of temperature tuesday ,saturday+5
so,
a+a+5d = a+d+a+5d+5
2a+5d=2a+6d+5
-5=d ........(1)
Now,
by 2nd condition,
temperature of wednesday = -30
a+2d=-30
a+(2×(-5))= -30 .........(from 1st)
a-10= -30
a=-30+10
a= -20
Temperature is as follows :
Monday= a=20 degree
tuesday = a+d= -20+(-5)= -25
wednesday = a+2d = -20+(-10)= -30
thursday = a+3d= -20+(-15) = -35
friday = a+4d= -20+ (-20)= -40
saturday = a+ 5d=-20+(-25)= -45
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