Kargil's temperature was recorded in a week from Monday to Saturday. All readings were in arithmetic progression. The sum of temperatures of Monday and Saturday was 5 degrees Celsius more than the sum of temperatures of Tuesday and Saturday . If temperature of Wednesday was -30 degree Celsius then find the temperature of the Other five days
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6° c is the correct answer
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Answer: The temperature on Monday is 40°,
On Tuesday is 35°,
On Thursday is 25°,
On Friday is 20°,
On Saturday is 15°
Step-by-step explanation:
Let a be the temperature on Monday,
While d is the common difference in temperature,
Thus, the AP that shows the temperature on different days from Monday to Saturday is,
a, a+d, a+2d, a+3d, a+4d, a+5d
According to the question,
(a+a+5d) - (a+d+a+5d) = 5°
⇒ 2a+5d - 2a - 6d = 5°
⇒ d = -5°
Now, again according to the question,
a+2d = -30°
⇒ a - 10° = 30°
⇒ a = 40°
Thus, the AP that shows the temperatures from Monday to Saturday is,
40°, (40°- 5°), (40°-10°), (40°-15°), (40°-20°), (40°-25°)
= 40°, 35°, 30°, 25°, 20°, 15°
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