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Answer :
Ans. Let the age of Ani and Biju be x years and y years respectively.
Age of Dharam = 2x years and Age of Cathy = \({{y}\over{2}}\) years
Case 1 : Ani's age is greater than Biju's age
According to question, x – y = 3… (1)
And \( 2x - {{y}\over{2}} = 30\)
\(4x – y = 60\)… (2)
Subtracting (1) from (2),:
\(3x = 60 – 3 = 57\)
x = Age of Ani = 19 years
Age of Biju = 19 – 3 = 16 years
Case 2 : Ani's age is less than Biju's age
Thus, \(y – x = 3\)… (3)
And \( 2x - {{y}\over{2}} = 30\)
\(4x – y = 60\)… (4)
Adding (3) and (4), we obtain:
3x = 63
x = 21
Age of Ani = 21 years
Age of Biju = 21 + 3 = 24 years