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?
A. 3 : 8
B. 1 : 5
C. 1 : 2
D. 2 : 1
E. None of these
Solution (By Examveda Team)
Let 16 years ago my age was X.
8 years of now, ratio of the age of mine and grandftather would be
(X+24)/(8X = 24) = 1/3
X = 48/5 = 9.6
So, Present age = X + 16 = 9.6 + 16 = 25.6
Present age of grandfather = 8 *9.6 + 16 = 92.8.
8 years back ratio of there age = (25.6 - 8) /(92.8 - 8) = 11/53.
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