A, B, C and D play a game of cards. A says to B, “If I give you 8 cards, you will have as many as C has…
From what A says: B + 8 = C, A - 8 = C - 3 so A = C + 5, and A + 6 = 2D so D = (C + 11)/2. Since B + D = 50, (C - 8) + (C + 11)/2 = 50, which gives 3C = 105 and C = 35. So A…
Choose your answer
A, B, C and D play a game of cards. A says to B, “If I give you 8 cards, you will have as many as C has and I shall have 3 less than what C has. Also, if I take 6 cards from C, I shall have twice as many as D has”. If B and D together have 50 cards, then number of cards A has :
Answer and explanation
Correct answer C
From what A says: B + 8 = C, A - 8 = C - 3 so A = C + 5, and A + 6 = 2D so D = (C + 11)/2. Since B + D = 50, (C - 8) + (C + 11)/2 = 50, which gives 3C = 105 and C = 35.
So A = 35 + 5 = 40 (and B = 27, D = 23).
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Uttarakhand Lower PCS