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A boy in a family says "I have twice as many sisters as I have brothers" but one of his sisters claims that she has the same number of brothers and si
Question

A boy in a family says "I have twice as many sisters as I have brothers" but one of his sisters claims that she has the same number of brothers and sisters. The numbers of girls and boys in that family are, respectively

A.

4 and 2

B.

3 and 2

C.

3 and 4

D.

4 and 3

Correct option is D

Given:

A boy says, "I have twice as many sisters as brothers"
A girl says, "I have the same number of brothers and sisters"

Solution:

Let the number of boys = b
Let the number of girls = g

From the boy’s statement:
Number of brothers = b − 1
Number of sisters = g
So, g = 2 × (b − 1)

From the girl’s statement:
Number of brothers = b
Number of sisters = g − 1
So, b = g − 1

From the second equation:
g = b + 1

Substitute into the first equation:
b + 1 = 2 × (b − 1)
b + 1 = 2b − 2
Solving:
3 = b
So, b = 3 and g = b + 1 = 4

Final Answer: (d) 4 and 3

(4 girls and 3 boys)

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