A, B, C, D and E play a game of cards. A says to B, andldquo;If you give me 3 cards, you will have as many as I have at this moment while if D takes 5 cards from you, he will have as many as E has.andrdquo; A and C together have twice as many cards as E has. B and D together also have the same number of cards as A and C taken together. If together they have 150 cards, how many cards has C got ?a)28b)29c)31d)35Correct answer is option 'A'. Can you explain this answer?

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A, B, C, D and E play a game of cards. A says to B, “If you give me 3 cards, you will have as many as I have at this moment while if D takes 5 cards from you, he will have as many as E has.” A and C together have twice as many cards as E has. B and D together also have the same number of cards as A and C taken together. If together they have 150 cards, how many cards has C got ?

a)
28
b)
29
c)
31
d)
35

Correct answer is option 'A'. Can you explain this answer?

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A, B, C, D and E play a game of cards. A says to B, “If you give...

Clearly, we have :
A = B – 3 ...(i)
D + 5 = E ...(ii)
A + C = 2E ...(iii)
B + D = A+C = 2E ...(iv)
A+B + C + D + E=150 ...(v)
From (iii), (iv) and (v),
we get : 5E = 150 or E = 30.
Putting E = 30 in (ii), we get :
D = 25.
Putting E = 30 and D = 25 in (iv), we get:
B = 35.
Putting B = 35 in (i), we get :
A = 32.
Putting A = 32 and E = 30 in (iii), we get:
C = 28.

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A, B, C, D and E play a game of cards. A says to B, “If you give...

28 cards

Answered by Yashina Kapoor · View profile

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