The ratio of the present ages of two sisters is 1 : 2 and 5 years back, the ratio was 1 : 3. what will be the ratio of their ages after 10 years?
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let present ages of sisters be x,y
given x/y=1/2
⇒2x=y
ages of sisters before 5 years=x-5,y-5
x-5/y-5=1/3
⇒3(x-5)=y-5
⇒3x-15=2x-5
⇒x=10
∴y=20
hence present ages of sisters is 10,20
ages of sisters 10 years later are 20,30
ratio of ages of sisters 10 years later is 20/30
i.e 2/3 or 2:3
given x/y=1/2
⇒2x=y
ages of sisters before 5 years=x-5,y-5
x-5/y-5=1/3
⇒3(x-5)=y-5
⇒3x-15=2x-5
⇒x=10
∴y=20
hence present ages of sisters is 10,20
ages of sisters 10 years later are 20,30
ratio of ages of sisters 10 years later is 20/30
i.e 2/3 or 2:3
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