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

2
by rockingharsh200

2014-05-04T09:54:05+05:30

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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.
2014-05-04T09:56:29+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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