# Easy Algebra Solved QuestionAptitude Discussion

 Q. 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?
 ✖ A. 7 year ✔ B. 5 year ✖ C. 8 year ✖ D. 10 year

Solution:
Option(B) is correct

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

$\dfrac{y}{x+1}=\dfrac{0.5}{1}=\dfrac{1}{2}$

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

Again given:

$\dfrac{y-2}{x}=\dfrac{1}{3}$

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

From both the equations we get:

$x=9$ and $y=5$

So, the age of younger sister is 5 years