# Find the Ratio of My Age to that of My Grand Father Age

My grand father was 9 times older than me 16 years ago. He will be 3 time of my age 8 years from now. Eight years ago, the ratio of my age to that of my grand father was

- 3 : 8
- 2 : 5
- 1 : 2
- 1 : 5

**Answer: (4) 1: 5**

**Explanation:-
**Let be the my age is 16 years ago = X

Grandfather’s age 16 years ago = 9X

8 years from now ,

3(X + 16 + 8 ) = (9X + 16 + 8)

3(X + 24 ) = (9X + 24)

3X + 72 = 9X + 24

9X – 3X = 72 – 24

6X = 48

X = 8

8 years ago ratio was:

= (X + 8)/(9X + 8)

= (8 + 8) / (9 x 8 + 8)

= 16 / 80

= 2/10

= 1/5

Hence, the answer is (4) 1:5