[2(1/2) times] Mother is aged thrice than her daughter Rani. After 8 years, he would be 2(1/2) times of Ranis age.

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Mother is aged thrice than her daughter Rani. After 8 years, he would be 2(1/2) times of Ranis age. After 8 years, how many times would she be of Ranis age?

18 times

16 times

2(1/2) times

2 times

Explanation:
Let Rani age is 'x' years.so his mother's age is 3x. after 8 years,
Therefore,Rani age is 'x+8' his mother's age is 2 and half times Rani age
so,3x+8=5/2(x+8)
..x=24 mother's age =3(24)=72
After 8 years Rani age=32 and mother's age is 80
again after 8 years Rani age=40 and mother's age is 88
Therefore mother's age is 2.2 times of Rani age.

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