a) 1 : 2
b) 1 : 5
c) 3 : 8
d) None of these
Answer: d
Explanation: 16 years ago, let T = x years and G = 8x years
After 8 years from now,
T = (x + 16 + 8) years and G = (8x + 16 + 8) years
$$\eqalign{
& {\text{8x + 24 = 3}}\left( {x + 24} \right) \cr
& 8x – 3x = 72 – 24 \cr
& 5x = 48 \cr
& 8{\text{years ago,}} \cr
& {\text{ }}\frac{{\text{T}}}{{\text{G}}} \cr
& = \frac{{x + 8}}{{8x + 8}} \cr
& = \frac{{\frac{{48}}{5} + 8}}{{8 \times \frac{{48}}{5} + 8}} \cr
& = \frac{{48 + 40}}{{384 + 40}} \cr
& = \frac{{88}}{{424}} \cr
& = \frac{{11}}{{53}} \cr} $$
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