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Question -

The ages of two friends Ani and Biju differ by 3 years. AniтАЩs 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 тАУ y = 3 тАж.(i)
AniтАЩs father DharamтАЩs age = 2x
and CathyтАЩs age = (1/2) y
But 2x тАУ (1/2) y = 30
=> 4x тАУ y = 60 тАж.(ii)
Subtracting,
3x = 57
x = 19
and 4x тАУ y = 60
=> 4 x 19 тАУ y = 60
=> 76 тАУ y = 60
=> 76 тАУ 60 = y
=> y = 16
AnilтАЩs age = 19 years
and BijuтАЩs age = 16 years

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