The 14th 0ne please answer fast

Dear Student,
Solution)
Let the number of boys and girls be x and y respectively.

As, we know that,
Sum of observations = Mean × Number of observations 

Given, Mean marks of boys in the examination = 70

∴ Sum of marks obtained by boys in the examination
= 70 × x
=
70

Given, Mean marks of girls in the examination = 73

∴ Sum of marks obtained by girls in the examination
= 73 × y
= 73

Given, Mean marks of all students in the examination = 71

∴ Sum of marks obtained by all students in the examination
= 71 (x + y)

Sum of marks obtained by all students in the examination 
= Sum of marks obtained by boys in the examination +
   Sum of marks obtained by girls in the examination

∴ 71 (x + y) = 70x + 73y

⇒ 71x + 71y = 70x + 73y

⇒ 71x – 70x = 73y – 71y

x = 2y
xy=21

x : y = 2:1

Thus, the ratio of number of boys to the number of girls is 2 :1

Regards!

  • 0
Dear Student,

Let the total number of boys be x and the total number of girls br y.

Let the sum of the marks of boys be a and the sum of the marks of girls be b.
Mean marks of boys are =70
Mean marks of girls are =73

Therefore,
⇒xa​=70
⇒a=70x

and
⇒yb​=73
⇒b=73y
Now, mean marks of all the students is 71
Therfore,
⇒x+ysum of the marks of all the students​=71

⇒sum of the marks of all the students=a+b

⇒a+b=70x+73y

Therefore,
⇒x+y70x+73y​=71
⇒70x+73y=71x+71y

⇒2y=x
⇒yx​=12​
Hence the ratio is 2:1

Regards,
Daivik Lakshmipathy.
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