My grandmother was 9 times older than me 16 years ago. She will be 3 times of my age 8 years after from now. Eight years ago, the ratio of my age to that of my grandmother was?
Answer & explanation
Correct answer: option 1
16 years ago, My age = x years
My grandmother's age = 9x year
After 8 years from the present,
⇒ 9x + 16 + 8 = 3 ( x + 8 + 16)
⇒ 9x + 24 = 3x + 72
⇒ 6x = 48 ⇒ x = 8
Required ratio 8 years ago,
⇒ ( x + 8 ) : ( 9x + 8 )
⇒ ( 8 + 8 ) : ( 9 × 8 + 8 )
⇒ 16 : 80
⇒ 1 : 5