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Word Problem

by harsh.champ » Thu Feb 04, 2010 5:44 am
Q)A and B each had a certain number of playing marbles. A lost a game to B and had to give B half of his marbles. In the second game, B lost and had to give three-fourths of his marbles to A, who now had thirty marbles. Finally, the two played a third game. B won and acquired some of A?s marbles.At this point, each boy had exactly the number of marbles he had started with, and A had twice as many marbles as B. How many marbles did B has in the beginning?

(1)12
(2)24
(3)36
(4)72
(5)None of the above
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by ajith » Thu Feb 04, 2010 5:52 am
harsh.champ wrote:Q)A and B each had a certain number of playing marbles. A lost a game to B and had to give B half of his marbles. In the second game, B lost and had to give three-fourths of his marbles to A, who now had thirty marbles. Finally, the two played a third game. B won and acquired some of A?s marbles.At this point, each boy had exactly the number of marbles he had started with, and A had twice as many marbles as B. How many marbles did B has in the beginning?

(1)12
(2)24
(3)36
(4)72
(5)None of the above
Initially A has 2x marbles and B has x marbles
After first round
A has x marbles and B has 2x marbles

After 2nd round

A has 2.5 x marbles and B has 0.5 x marbles

2.5x =30
x=12
total marbles 3x =36

C
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