Question

16 years ago, my grandfather was 8 times older than me. after 8 years from today, my grandfather will be thrice as old as i will be at that time. eight years ago, what was the ratio of my age and my grandfather's age?

Answer 1

16 years ago:

Let my age be x

My grandfather = 9x

Present age:

my age = x + 16

my grandfather = 9x + 16

8 years later:

my age = x + 16 + 8 = x + 24

my grandfather = 9x + 16 + 8 = 9x + 24

Solve x:

9x + 24 = 3(x + 24)

9x + 24 = 3x + 72

6x = 48

x = 8

Find the present age:

my age = x + 16 = 8 + 16 = 24

my grandfather = 9x + 16 = 9(8) + 16 = 88

Find the ratio:

Ratio : my age : my grandfather's age = 24 : 88

Simplify by dividing by 8:

Ratio : my age : my grandfather's age = 3 : 11

Answer; The ratio is 3 : 11

Answer 2

Answer:The ratio is 3:11