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

  1. 3 : 8
  2. 2 : 5
  3. 1 : 2
  4. 1 : 5
Manish Listener Asked on 19th June 2015 in Maths.
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1 Answer(s)

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

Anurag Mishra Professor Answered on 19th June 2015.
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