I have a certain number of marbles to divide equally among 24 boys. When total number of marbles's a

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25 Oct 2017 Marbles

I have a certain number of marbles to divide equally among 24 boys. When total number of marbles's are increased by 9 and number of boys are increased by 3 then each boy receives 4 marbles less when compared to earlier. How many marbles did I had initially?

OPtion

1) 882
2) 984
3) 930
4) 960
5) 930
6) 936
7) 876
8) 920
9) 890
10) None of these

Solution

Case-1
No of boys = 24
No. of Marbles = x
No. of marbles each boy gets = x/24 ----(i)

Case-2
Increased no. of boys = 27
Increased no. of marbles = x+9
No. of marbles each boy gets after increasing by 9 = (x+9)/27 ----(ii)

As per question boys receive 4 less marbles in case-2 when compared to case-1
So No. of marbles each boy gets after increasing by 9 = (x/24) - 4 ----(iii)

Equating (ii) and (iii)
(x+9)/27 = (x/24) - 4
(x+9)/27 = (x - 96)/24
= 24x + 216 = 27x - 2592
=> 3x = 2808
=> x = 936 Option 6)

So in case-1 you should distribute = 936/24 = 39 marbles
and in case-2 you should distribute = 945/27 = 35 marbles

Correct Option: 6 Best Solution (0)