Question

in a class of 52 students the number of boy is 6/7 of the number of girl. how many are boy

Answer 1

Let the number of girls be x
Number of boys=6/7 of girls=6/7x
Total students=52
x+6/7x=52
[7x+6x]/7=52
13x/7=52
13x=52*7
x=364/13=28
The number of girls are 28 and the number of boys are 6/7*28=24
Therefore the number of boys are 24.

Answer 2

Let the no. of girls be x
No. of boys =6/7of x
According to the question
x+6/7x=52
(7x+6x)/7=52                                                                        (Taking the L.C.M )
7x+6x=364                                                                            (via cross multiplication)
13x=364
x=364/13
x=28
Now if x=28
then
The no. of boys =6/7of x
=6/7*28
=6*4
=24
Hence the no. of boys in the class is 24