Radha and Rani are sisters Five years back the age of Radha was three times that of Rani but one yea...........

Quantitative Aptitude (CDS) Problems based on Ages

Radha and Rani are sisters . Five years back , the age of Radha was three times that of Rani , but one year back the age of Radha was two times that of Rani. What is the age difference between them?

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Explanation:

Radha's age = A
Rani's age = B
$\frac{A-5}{B-5}=3 => A -5 =3B-15$
$\frac{A-1}{B-1}=2 => A -1 = 2B- 2$
=> -4 = B -13 => B = 9
So A - 1 = 18 - 2 => A = 17
A - B = 17 -9 = 8yrs