The GMAT would provide answer choices, as follows:
mallireddy wrote:Lata has the same number of sisters as she has brothers but her brother Shyam has twice as many sisters as he has brothers. How many children are there in the family?
3
5
6
7
9
We can PLUG IN THE ANSWERS, which represent the total number of children.
When the correct answer choice is plugged in, Lata will have an equal number of sisters and brothers, while Shyam will have twice as many sisters as brothers.
Let L = Lata and S = Shyam.
Answer choice D: 7
Since Lata must have an equal number of sisters and brothers, the 7 children are as follows:
Girls = L, G, G, G
Boys = S, B, B
In this case:
Lata has 3 sisters G, G, G and 3 brothers S, B, B.
Shyam has 4 sisters L, G, G, G and 2 brothers B, B.
Success!
While Lata has an equal number of sisters and brothers, Shyam has twice as many sisters as brothers.
The correct answer is
D.
Last edited by GMATGuruNY on Wed Mar 23, 2016 3:33 am, edited 1 time in total.
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