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If 1 added to the age of the elder sister, then the ratio of the ages of two sisters becomes $0.5 : 1$, but if 2 is subtracted from the age of the younger one, the ratio becomes $1:3$, the age of the younger sister will be?


7 year


5 year


8 year


10 year

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Option(B) is correct

Suppose that age of elder sister be $x$ year, and younger sister be $y$ year. Then:


\(\Rightarrow x-2y=-1\)-------(i)

Again given: 


\(\Rightarrow x-3y=-6\)-------- (ii)

From both the equations we get:

$x=9$ and $y=5$

So, the age of younger sister is 5 years

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