CaptainLevi wrote:
Each of A and B has a few marbles with them. If A gives 12 marbles to B, the ratio of the number of marbles with them becomes the reciprocal of the initial ratio. If they together have a total of N marbles, how many marbles should A give to B so that each of them has an equal number of marbles?
a) 6
b) 12
c) 24
d) 26
e)30
Let the number be A:B..
After A gives 12 marbles to B, the ratio becomes = B:A =A-12:B+12
\(A(A-12)=B(B+12).......A^2-12A=B^2+12B......A^2-B^2=12(B+A)....(A-B)(A+B)=12(A+B).....A-B=12\)
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