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?
Select the correct option
A) 7 years
B) 5 years
C) 8 years
D) 10 years
E) 4 years
Explanation :   Let, the age of the elder sister be x year, and younger sister be y year.   Now, according to the question,   y/(x+1)=0.5/1.   =&gt;y/(x+1)=1/2.   =&gt;2y= x + 1   =&gt;x−2y =−1 -------(i)   And,   =&gt;(y−2)/x=1/3.   =&gt;x−3y =−6 -------(ii)   On solving these equations, we get :-   x=9 and y=5   Hence, the age of the younger sister is 5 years.   Answer : 5 years
<result>B</result>
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?