Question

IF THE AVERAGE MARKS OBTAINED BY BOYS AND GIRLS ARE 68.4 AND 71.2 RESPECTIVLAY AND AVERAGE MARKS OF WHOLE CLASS 70 FIND RATIO OF BOYS AND GIRLS

Answer 1

Answer:

let,number of boys=x

and the number of girls=y

total marks obtained by boys=68.4x

total marks obtained by girls=71.2y

according to question

total marks obtained by boys and girls=70(x+y)

68.4x+71.2y=70x+70y

71.2y-70y=70x-68.4x

1.2y=1.6x

so,x:y=12:16

Answer 2

The ratio is 12:16.

• The ratio of the sum of the values in a particular set to all the values in the set is the mean value, which is the definition of the average. The average formula has numerous practical uses. If we were asked to determine the average male height in India or the average age of the men and women in a group, we would add up all the data and divide it by the total number of data points.
• It is fairly simple to calculate the average of a set of numbers or values. The only thing left to do is to add up all the numbers and divide the total by the number of values provided.

Here, according to the given information,

Average marks obtained by boys and girls are 68.4 and 71.2 respectively.

Then, marks obtained by boys is 68.4x say and that of girls is 71.2y.

Then, $68.4x+71.2y = 70(x+y)$

Or, $1.6x = 1.2y$

Or, $x:y = 12:16$.

Hence, the ratio is 12:16.

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