Question

(1)In an exam there are x boys and y girls. The average score for boys is 63 and for girls is 70. The average for the whole class is 68. What are the possible values of x and y?
PLEASE GIVE THE SOLUTION AS SOON AS POSSIBLE.IT'S REALLY URGENT.PLEASE

Answer 1

Score of boys= 63x

Score of girls= 70y

Average of whole class=Total score of boy and girls/Total number of students

68=(63x+70y)/(x+y)

68(x+y)=63x+70y

68x-63x=70y-68y

5x=2y

x/y=2/5

Possible values of x are 2,4,6,8...

Possible values of y are 5,10,15,20