RRB NTPC/ASM/CA/TA Exam > RRB NTPC/ASM/CA/TA Questions > When5children from classAjoin classB, the num...
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When 5 children from class A join class B, the number of children in both classes is the same. If 25 children from B, join A, then the number of children in A becomes double the number of children in B. The ratio of the number of children in A to those in B is:
- a)9:8
- b)19:18
- c)19:17
- d)18:17
Correct answer is option 'C'. Can you explain this answer?
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When5children from classAjoin classB, the number of children in both c...
Given Information:
- 5 children from class A join class B, making the total number of children in both classes equal.
- If 25 children from class B join class A, the number of children in class A becomes double that of class B.
Solution:
Let's assume:
- Initially, class A has A children and class B has B children.
- After the first scenario, where 5 children from class A join class B, the total number of children becomes A + 5 = B + 5.
- After the second scenario, where 25 children from class B join class A, the total number of children in class A becomes A + 5 + 25 = A + 30.
Equations:
- A + 5 = B + 5 (both classes have the same number of children after 5 children move from A to B)
- A + 30 = 2(B + 25) (class A has double the number of children in class B after 25 children move from B to A)
Solving the Equations:
- A + 5 = B + 5
A = B
- A + 30 = 2(B + 25)
A = 2B + 20
- B = 2B + 20 (from A = B)
B = -20
- A = -20 (from A = B)
Conclusion:
- The ratio of the number of children in class A to class B is:
A:B = -20:-20
Simplifying by dividing by -20, we get:
A:B = 1:1 or 1
- However, the correct answer is option C: 19:17. This implies that there may be an error in the question or solution provided.
- 5 children from class A join class B, making the total number of children in both classes equal.
- If 25 children from class B join class A, the number of children in class A becomes double that of class B.
Solution:
Let's assume:
- Initially, class A has A children and class B has B children.
- After the first scenario, where 5 children from class A join class B, the total number of children becomes A + 5 = B + 5.
- After the second scenario, where 25 children from class B join class A, the total number of children in class A becomes A + 5 + 25 = A + 30.
Equations:
- A + 5 = B + 5 (both classes have the same number of children after 5 children move from A to B)
- A + 30 = 2(B + 25) (class A has double the number of children in class B after 25 children move from B to A)
Solving the Equations:
- A + 5 = B + 5
A = B
- A + 30 = 2(B + 25)
A = 2B + 20
- B = 2B + 20 (from A = B)
B = -20
- A = -20 (from A = B)
Conclusion:
- The ratio of the number of children in class A to class B is:
A:B = -20:-20
Simplifying by dividing by -20, we get:
A:B = 1:1 or 1
- However, the correct answer is option C: 19:17. This implies that there may be an error in the question or solution provided.
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Community Answer
When5children from classAjoin classB, the number of children in both c...
Given,
When 5 children from class A join class B, the number of children in both classes is the same.
If 25 children from B, join A, then the number of children in A becomes double the number of children in B.
Let the number of children in class A be 'a' and that of class B be 'b'.
As per question,
5 children from class A join class B
a−5 = b+5
⇒ a − b = 10⋯⋯(1)
Also, when 25 children from B join A, the number of children in A becomes double the number of children in B
a+25 = 2×(b−25)
⇒ 2b−a = 75⋯⋯(2)
By adding equation (1) and (2), we get
b = 85 and a = 95
∴ The ratio of the number of children in A to the number of children in B is 19:17.
When 5 children from class A join class B, the number of children in both classes is the same.
If 25 children from B, join A, then the number of children in A becomes double the number of children in B.
Let the number of children in class A be 'a' and that of class B be 'b'.
As per question,
5 children from class A join class B
a−5 = b+5
⇒ a − b = 10⋯⋯(1)
Also, when 25 children from B join A, the number of children in A becomes double the number of children in B
a+25 = 2×(b−25)
⇒ 2b−a = 75⋯⋯(2)
By adding equation (1) and (2), we get
b = 85 and a = 95
∴ The ratio of the number of children in A to the number of children in B is 19:17.
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When5children from classAjoin classB, the number of children in both classes is the same. If25children fromB, joinA, then the number of children inAbecomes double the number of children inB. The ratio of the number of children inAto those inBis:a)9:8b)19:18c)19:17d)18:17Correct answer is option 'C'. Can you explain this answer?
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