who has marble ?

Algebra Level 3

A, B,C and D are playing marbles .Everyone count marbles they have. they found that the total marbles are 45.They also find that if the marbles of A are multiplied by 2,marbles of B are divided by 2 , 2 is added to the marbles of C or 2 subtracted from marbles of D the answer is same. Find that the marbles which A had.


The answer is 5.

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1 solution

Yogesh Wankhade
Dec 9, 2014

let the marbles of A,B,C and D are A,B,C and D respectively.now by given condition, 2A = B/2=C+2=D-2=x therefore, A=x/2, B=2x, C=x-2, D=x+2,
A+B+C+D=45,
(x/2)+(2x)+(x-2)+(x+2)=45 ,
x=10 ,
A=x/2=5


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