The average temperature for Wednesday, Thursday and Friday was 40°C. The average for Thursday, Friday and Saturday was 41° C. If temperature on Saturday was 42° C, what was the temperature on Wednesday?
A. 39° C
B. 44° C
C. 38° C
D. 41° C
Answer: Option A
Solution(By Examveda Team)
Average temperature for Wednesday, Thursday and Friday = 40° CTotal temperature = 3 × 40 = 120° C
Average temperature for Thursday, Friday and Saturday = 41° C
Total temperature = 41 × 3 = 123° C
Temperature on Saturday = 42° C
Now,
(Thursday + Friday + Saturday) - (Wednesday + Thursday + Friday) = 123 - 120;
Saturday - Wednesday = 3
Wednesday = 42 - 3 = 39° C
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Comments ( 16 )
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Let's denote the temperatures for Wednesday, Thursday, Friday, and Saturday as W, T, F, and S respectively. We have two sets of information:
1. (W + T + F) / 3 = 40
2. (T + F + S) / 3 = 41
Given that S (Saturday) is 42⁰C, we can substitute it into the second equation:
(T + F + 42) / 3 = 41
Now we can solve for T + F:
T + F + 42 = 123
T + F = 123 - 42
T + F = 81
Now, we know the sum of temperatures for Thursday and Friday. Substituting this into the first equation:
(W + 81) / 3 = 40
Solving for W:
W + 81 = 120
W = 120 - 81
W = 39
So, the temperature on Wednesday was 39⁰C.
Total temperature of W+ T+F = 40×3 = 120°-----(i)
Total temperature of T+F+S = 41×3 = 123°------(ii)
Given that, Saturday's temperature was = 42°
Now,
T+F+S = 123°
T+F+42° = 123°
T+F = 123° - 42°
T+F = 81°
Now,
Putting value of (T+F) in equation (i) we get,
W+T+F = 120°
W+ 81 = 120°
W= 120° - 81°
W = 39°
So temperature on Wednesday was 39°
Let a=Wednesday
b=Thursday, c=Friday, d=Saturday
Eqn 1: (a+b+c)/3 =40°C
Eqn 2: (b+c+d)/3 = 41°C
Where d=Saturday=42°C
(b+c+42)/3 = 41°C
b+c+42 = 41*3
b+c = 123-42 = 81°C
: Thursday+Friday=81°C
For Wednesday, using eqn 1
(a+81)/3 = 40°C
a+81 = 40*3
a = 120-81
a = 39°C
Temperature on Wednesday was 39°C
Right
Short cut method is also explain...
Good expalined
Saturday - Wednesday = 3 what we get
explain in shortcut method
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39 is correct answer
its correct ans is 39
ur solution is correct but answer choice not correct
it should be A)39`c
easy but some tricky