The average of the marks obtained by three girls in a test was twice the average of the marks obtained by eight boys in that test. If the total marks obtained by all these examinees was 168, find the average marks each of the girls obtained. Options:- [1]. 25 [2]. 12 [3]. 24 [4]. 14 Answer,

The average of the marks obtained by three girls in a test was twice the average of the marks obtained by eight boys in that test. If the total marks obtained by all these examinees was 168, find the average marks each of the girls obtained.
Options:-  [1]. 25    [2]. 12    [3]. 24    [4]. 14

Answer,
                           [3]. 24

Let the average marks each of girls obtained is x
And the average marks obtained by eight boys in that test is y
then the average mark of 3 girls will be x itself
According to question,
x=2y and 3x +8y=168
by solving these two variables from two given equations
We get x=24 and y=12 
Hence, the average marks each of the girls obtained is 24.






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