My grandfather was 8 times older than me 16 years ago. He would be 3 times of my age, 8 years from now. Eight years ago what was ratio of my age to that of my grandfather?
A. 3:8
B. 1:5
C. 1:2
D. none of the above
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Let 16 years ago my age was X.
8 years of now, ratio of the age of mine and grandfather 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.