Question Answer of Teacher's Day
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Correct option is
A
64 degrees
Let the temperatures on five days be x
1
,x
2
,x
3
,x
4
,x
5
Given that the average temperature of the first four days is 58 degrees.
Therefore, 58=
4
x
1
+x
2
+x
3
+x
4
⟹x
1
+x
2
+x
3
+x
4
=58×4=232
⟹x
2
+x
3
+x
4
=232−x
1
------(1)
Given that average for the second, third, fourth and fifth days is 60 degrees.
Therefore, 60=
4
x
2
+x
3
+x
4
+x
5
⟹x
2
+x
3
+x
4
+x
5
=60×4=240 ------(2)
substituting (1) in (2) we get
232−x
1
+x
5
=240
x
5
−x
1
=8 -------(3)
Given that ratio of first-day and the fifth-day temperature is 7:8
Therefore, x
1
:x
5
=7:8
⟹x
1
=
8
7
x
5
------(4)
substituting (4) in (3) we get
x
5
−
8
7
x
5
=8
⟹
8
8−7
x
5
=8
⟹x
5
=64
Therefore, the temperature on the fifth day is 64 degrees.
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