Kargil’s temperature was recorded in a week from Monday to Saturday.

1.	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.
Answer» Let the temperatures from Monday to Saturday in A.P. be a, a + d, a + 2d, a + 3d, a + 4d, a + 5d. According to the first condition, (a) + (a + 5d) = (a + d) + (a + 5d) + 5° ∴ d = -5° According to the second condition, a + 2d = -30° ∴ a + 2(-5°) = -30° ∴ a – 10° = -30° ∴ a = -30° + 10° = -20° ∴ a + d = -20° – 5° = – 25° a + 3d = -20° + 3(- 5°) = -20° – 15° = -35° a + 4d = -20° + 4(-5°) = -20° – 20° = -40° a + 5d = -20° + 5(-5°) = -20° – 25° = -45° ∴ The temperatures on the other five days are -20°C, -25° C, -35° C, -40° C and -45° C.

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.

Answer»

Let the temperatures from Monday to Saturday in A.P. be

a, a + d, a + 2d, a + 3d, a + 4d, a + 5d.

According to the first condition,

(a) + (a + 5d) = (a + d) + (a + 5d) + 5°

∴ d = -5°

According to the second condition,

a + 2d = -30°

∴ a + 2(-5°) = -30°

∴ a – 10° = -30°

∴ a = -30° + 10° = -20°

∴ a + d = -20° – 5° = – 25°

a + 3d = -20° + 3(- 5°) = -20° – 15° = -35°

a + 4d = -20° + 4(-5°) = -20° – 20° = -40°

a + 5d = -20° + 5(-5°) = -20° – 25° = -45°

∴ The temperatures on the other five days are -20°C, -25° C, -35° C, -40° C and -45° C.