In a family there are several brothers and sisters. Every 2 boys have brothers as many as sisters and each girl has 2 brothers less than twice as many brothers as sisters. Now find the number of boys and girls.a)12 , 10b)6 , 4c)6 , 8d)8 , 6e)10 , 8Correct answer is option 'D'. Can you explain this answer?

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LR Exam > LR Questions > In a family there are several brothers and si...

a)
12 , 10
b)
6 , 4
c)
6 , 8
d)
8 , 6
e)
10 , 8

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

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In a family there are several brothers and sisters. Every 2 boys have ...

Option A
Solution:
Let B be the number of brothers and S be the number of sisters in the family.
Consider any two boys. They would be having (B - 2) brothers (excluding the two). But this number is equal to the number of sisters they have.
Therefore,
B - 2 = S or , B - S = 2 ............(1) Each girl will have (S - 1) sisters. Twice the number of sisters = 2(S - 1). Since, each girl has twice as many brothers as sisters, we have, 2(S-1)-2 = B
2S - 4 = B ........... (2)
Substituting, eqn (2) in Eqn (1), we get 2S - 4 - S = 2
S = 6
On substituting S = 6 in eqn (1) , we get
B - 6 = 2
B = 8.

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In a family there are several brothers and sisters. Every 2 boys have ...

Problem Analysis:
Let's assume the number of boys as "b" and the number of girls as "g". According to the given conditions,
1) Every 2 boys have brothers as many as sisters: This implies that each boy has (g/b) sisters.
2) Each girl has 2 brothers less than twice as many brothers as sisters: This implies that each girl has (2g-2) brothers.

Solution:
1) Every 2 boys have brothers as many as sisters:
- The total number of sisters can be calculated as b * (g/b) = g.
- Therefore, the number of boys and girls can be written as b and g, respectively.

2) Each girl has 2 brothers less than twice as many brothers as sisters:
- The total number of brothers can be calculated as g * ((2g-2)/2) = (g^2 - g).
- Since each boy has an equal number of brothers as sisters, the number of brothers can also be calculated as b * (g/b) = g.
- Therefore, we have the equation g^2 - g = g.
- Simplifying the equation, we get g^2 - 2g = 0.
- Factoring out g, we have g(g-2) = 0.
- So, g = 0 or g = 2.

- Since the number of boys and girls cannot be zero, we have g = 2.
- Therefore, the number of boys can be calculated as b = g = 2.

So, the number of boys is 2 and the number of girls is 2. Hence, the correct answer is option D) 8 boys and 6 girls.

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In a family there are several brothers and sisters. Every 2 boys have brothers as many as sisters and each girl has 2 brothers less than twice as many brothers as sisters. Now find the number of boys and girls.a)12 , 10b)6 , 4c)6 , 8d)8 , 6e)10 , 8Correct answer is option 'D'. Can you explain this answer?

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In a family there are several brothers and sisters. Every 2 boys have brothers as many as sisters and each girl has 2 brothers less than twice as many brothers as sisters. Now find the number of boys and girls.a)12 , 10b)6 , 4c)6 , 8d)8 , 6e)10 , 8Correct answer is option 'D'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about In a family there are several brothers and sisters. Every 2 boys have brothers as many as sisters and each girl has 2 brothers less than twice as many brothers as sisters. Now find the number of boys and girls.a)12 , 10b)6 , 4c)6 , 8d)8 , 6e)10 , 8Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a family there are several brothers and sisters. Every 2 boys have brothers as many as sisters and each girl has 2 brothers less than twice as many brothers as sisters. Now find the number of boys and girls.a)12 , 10b)6 , 4c)6 , 8d)8 , 6e)10 , 8Correct answer is option 'D'. Can you explain this answer?.

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