Latha has the same number of sisters as she has brothers. Her brother Shyam has twice as many sisters as he has brothers. How many children do their parents have?

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Solution

The correct option is A 7
$L e t t h e n u m b e r o f c h i l d r e n b e 2 x + 1 E x c l u d i n g L a t h a, t h e r e a r e 2 x c h i l d r e n w h o a r e e q u a l b o y s a n d g i r l s . T h e r e f o r e, x e a c h . T o t a l b o y s = x T o t a l g i r l s (i n c l u s i n g L a t h a) = x + 1 N o . o f b r o t h e r s o f S h y a m = x - 1 N o . o f s i s t e r s o f S h y a m = x + 1 x + 1 = 2 (x - 1) x = 3 T o t a l c h i l d r e n = 2 x + 1 = 7$

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Latha has the same number of sisters as she has brothers. Her brother Shyam has twice as many sisters as he has brothers. How many children do their parents have?

The correct option is A 7Letthenumberofchildrenbe2x+1ExcludingLatha,thereare2xchildrenwhoareequalboysandgirls.Therefore,xeach.Totalboys=xTotalgirls(inclusingLatha)=x+1No.ofbrothersofShyam=x−1No.ofsistersofShyam=x+1x+1=2(x−1)x=3Totalchildren=2x+1=7