. 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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