Question

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?

Answer 1

Let younger sister's age be x, and that of the elder one be y,

Then, ATQ,

x/(y+1)=0.5/1

⇒x/(y+1)=1/2

⇒2x=y+1 ----------(i)

Now, ATQ,

(x-2)/y=1/3

⇒3(x-2)=y

⇒3x-6=y--------(ii)

Subtracting (i) from (ii),

x-6=-1

⇒x=5

Thus, age of younger sister is 5.