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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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Verified Answer
A, B, C, D and E play a game of cards. A says to B, "If you give me 3 ...
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.
Most Upvoted Answer
A, B, C, D and E play a game of cards. A says to B, "If you give me 3 ...
Given:
- A, B, C, D, and E are playing 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."
- A also says, "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 have the same number of cards as A and C taken together.
- Together, they have 150 cards.
To find:
The number of cards C has.
Solution:
Let's assume the number of cards A has is 'a', B has is 'b', C has is 'c', D has is 'd', and E has is 'e'.
Condition 1: A says to B, "If you give me 3 cards, you will have as many as I have at this moment."
- This implies that if B gives 3 cards to A, B will have 'a' cards.
- So, initially B must have 'a + 3' cards.
Condition 2: A says, "If D takes 5 cards from you, he will have as many as E has."
- This implies that if D takes 5 cards from B, D will have 'e' cards.
- So, initially B must have 'e + 5' cards.
Condition 3: A and C together have twice as many cards as E has.
- This implies that 'a + c = 2e'.
Condition 4: B and D together have the same number of cards as A and C taken together.
- This implies that 'b + d = a + c'.
Condition 5: Together, they have 150 cards.
- This implies that 'a + b + c + d + e = 150'.
Now, let's solve these equations to find the values of 'a', 'b', 'c', 'd', and 'e'.
From Condition 1, we have:
b = a + 3 ---------------(1)
From Condition 2, we have:
b - 5 = e ---------------(2)
From Condition 3, we have:
a + c = 2e --------------(3)
From Condition 4, we have:
b + d = a + c ------------(4)
From Condition 5, we have:
a + b + c + d + e = 150 ---(5)
Solving the Equations:
Substituting equation (1) into equation (4), we get:
(a + 3) + d = a + c
d = c - 3 ---------------(6)
Substituting equation (2) and (6) into equation (5), we get:
a + (a + 3) + c + (c - 3) + e = 150
2a + 2c + e = 150 ------------(7)
Substituting equation (3) into equation (7), we get:
2a + 4e + e = 150
2a + 5e = 150 --------------(8)
Now, we need to find the values of 'a
- A, B, C, D, and E are playing 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."
- A also says, "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 have the same number of cards as A and C taken together.
- Together, they have 150 cards.
To find:
The number of cards C has.
Solution:
Let's assume the number of cards A has is 'a', B has is 'b', C has is 'c', D has is 'd', and E has is 'e'.
Condition 1: A says to B, "If you give me 3 cards, you will have as many as I have at this moment."
- This implies that if B gives 3 cards to A, B will have 'a' cards.
- So, initially B must have 'a + 3' cards.
Condition 2: A says, "If D takes 5 cards from you, he will have as many as E has."
- This implies that if D takes 5 cards from B, D will have 'e' cards.
- So, initially B must have 'e + 5' cards.
Condition 3: A and C together have twice as many cards as E has.
- This implies that 'a + c = 2e'.
Condition 4: B and D together have the same number of cards as A and C taken together.
- This implies that 'b + d = a + c'.
Condition 5: Together, they have 150 cards.
- This implies that 'a + b + c + d + e = 150'.
Now, let's solve these equations to find the values of 'a', 'b', 'c', 'd', and 'e'.
From Condition 1, we have:
b = a + 3 ---------------(1)
From Condition 2, we have:
b - 5 = e ---------------(2)
From Condition 3, we have:
a + c = 2e --------------(3)
From Condition 4, we have:
b + d = a + c ------------(4)
From Condition 5, we have:
a + b + c + d + e = 150 ---(5)
Solving the Equations:
Substituting equation (1) into equation (4), we get:
(a + 3) + d = a + c
d = c - 3 ---------------(6)
Substituting equation (2) and (6) into equation (5), we get:
a + (a + 3) + c + (c - 3) + e = 150
2a + 2c + e = 150 ------------(7)
Substituting equation (3) into equation (7), we get:
2a + 4e + e = 150
2a + 5e = 150 --------------(8)
Now, we need to find the values of 'a
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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)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)28b)29c)31d)35Correct answer is option 'A'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about 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)28b)29c)31d)35Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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)28b)29c)31d)35Correct answer is option 'A'. Can you explain this answer?.
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)28b)29c)31d)35Correct answer is option 'A'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about 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)28b)29c)31d)35Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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)28b)29c)31d)35Correct answer is option 'A'. Can you explain this answer?.
Solutions for 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)28b)29c)31d)35Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for LR.
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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)28b)29c)31d)35Correct answer is option 'A'. Can you explain this answer?, a detailed solution for 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)28b)29c)31d)35Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of 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)28b)29c)31d)35Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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