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Q.

Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit’s age. After further next  8 years, how many times would he be of Ronit’s age? 

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a

2 times 

b

2 1 2 times 

c

2 3 4 times 

d

3 times 

answer is A.

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Detailed Solution

 Let Ronit's present age be x years. Then, father's present age  =(x+3x) years =4x years. [His father is 3 times more that ronit's age so, x+3x will be his age  now ]   After 8 years, Ronit,s Age =x+8  His father's age =(4x+8) (4x+8)=52(x+8) 8x+16=5x+40 3x=24 x=8  Further 8 years will means 16 years from the current age.   After 16 years from present, the ratio of their ages will be   His father's age  Ronit' age =(4x+16)(x+16)=4×8+168+16=4824=2  His father =2× Ronit age  

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