A, B, C, D and E play a game of cards A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has. A and B together have 10 cards more than what D and E together have If B has two cards more than what C has and the total number of cards be 133, how many cards does B have?

B – 3 = E …. (1)

B + 3 = D … (2)

A + B = D + E + 10 … (3)

B = C + 2 … (4)

A + B + C + D + E = 133 … (5)

From 1 and 2

B – E = D – B

2B = D + E .. (6)

From 3 and 6

A + B = 2B + 10

B = A – 10

A = B + 10 … (7)

From 5, 6, 7 and 4

B + 10 + B + B – 2 + 2B = 133

B = 25

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