. Radha's grandfather was 8 times older than her 16 years ago.


Radha's grandfather was 8 times older than her 16 years ago. He would be 3 times of her age 8 years from now. Eight years ago, what was the ratio of Radha’s age to that of her grandfather?

1. 1:2

2. 3:8

3. 11:53

4. 1:5

 

Best Answer

Ans: 3

Sol:  16 years ago :

Let Radha’s age = x yrs

Age of Radha’s grandfather = 8x yrs

Present age:

Radha’s age = x + 16

Age of Radha’s grandfather = 8x + 16

Eight years from now:

Age of Radha = (x + 24) yrs

Age of grandfather = (8x + 24)yrs

ATQ

8x + 24 = 3(x + 24)

5x = 24 × 2

x=48/5 yrs=9.6

Eight years ago:

Age of Radha = –x + 8 = 9.6 + 8 = 17.6

Age of grandfather = 8x + 8 = 8 × 10.6

ratio=17-6/8x10.6=22/106=11/53

 

 

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