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Question -

The ages of two friends Ani and Biju differ by 3 years. Ani’s father Dharam is twice as old as Ani and Biju as tiwce as old as his sister Cathy. The ages of Cathy and Dharam differ by 30 years. Find the ages of Ani and Biju.



Answer -

Let age of Ani = x years
and age of Biju = y years
x – y = 3 ….(i)
Ani’s father Dharam’s age = 2x
and Cathy’s age = (1/2) y
But 2x – (1/2) y = 30
=> 4x – y = 60 ….(ii)
Subtracting,
3x = 57
x = 19
and 4x – y = 60
=> 4 x 19 – y = 60
=> 76 – y = 60
=> 76 – 60 = y
=> y = 16
Anil’s age = 19 years
and Biju’s age = 16 years

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