Kargil's temperature was recorded in a week from Monday to Saturday. All readings were in $A . P$ . The sum of temperature of Monday and Saturday was $5^{o} C$ more then sum of temperature of Tuesday and Saturday. If temperature of Wednesday was $- 30^{o}$ Celsius then find temperature on the other five days.

Open in App

Solution

Monday $= a$
Tuesday $= a + d$
Wednesday $= a + 2 d$
Thursday $= a + 3 d$
Friday $= a + 4 d$
Saturday $= a + 5 d$

The sum of temperature of Monday
and Saturday was $5 ℃$ more than sum of
temperature of Tuesday and Saturday.
$a + (a + 5 d) = (a + d) + (a + 5 d) + 5$

$a = (a + d) + 5$

$0 = d + 5$

$d = - 5^{\circ} C$

If temperature of Wednesday
was $- 30 ℃$ then
$a + 2 d = - 30$

$a + 2 (- 5) = - 30$

$a - 10 = - 30$

$a = - 20$

The temperature on the other five days-
Monday $= - 20^{\circ}$
Tuesday $= - 20 + (- 5) = - 25^{\circ}$
Thursday $= - 20 + 3 (- 5) = - 35^{\circ}$
Friday $= - 20 + 4 (- 5) = - 40^{\circ}$
Saturday $= - 20 + 5 (- 5) = - 45^{\circ} C$

Suggest Corrections

Similar questions

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 $5^{\circ} C$ more than sum of temperatures of Tuesday and Saturday. If the temperature of Wednesday was $- 30^{\circ} C$ celsius then, find the temperature on the other five days.