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Answer:
Boys: Girls=9:4
Step-by-step explanation:
Let no of boys are x and girls are y
Avg score of boys=71
Thus total marks of x boys=71x
Avg score of girls=73
Thus total marks of y girls=73y
Total marks obtained by boys and girls=71x+73y..........(1)
Now avg of boys and girls=71.8
Total marks obtained by boys and girls=71.8*(x+y)...........(2)
Thus eqn (1) and (2) are equal
71x+73y=71.8(x+y)
71x+73y=71.8 x 71.8y
73y-71.8y=71.8x-71x
1.8y =0.8x
Dividing by xy
1.8/x=0.8/y
Or x/y=1.8/0.8=9/4
Or x:y=9:4
Or Boys: Girls=9:4
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