A B C amp D play a game of cards lsquo A rsquo says to lsquo B rsquo ldquo If I give you 8 cards you...........

Logical Reasoning(Master ) Ranking and ordering

A, B, C & 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, how many cards has ‘A’ got?

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Explanation:

If we read given question carefully, we get,
B+8 = C ---(i)
A-8 = C-3 ---(ii)
A+6 = 2D ---(iii)
B+D = 50 ---(iv)
Putting C = A -5 from (ii) into (i), we have :
B+8 = A-5 or A-B = 13 ---(v)
Putting D = 50-B from (iv) and (iii), we have :
A+6 = 100-2B or A+2B = 94 ---(vi)
Solving (v) and (vi), we get
B = 27 and A = 40

Hence, option 1 is the correct answer.