a) 9 : 8
b) 3 : 4
c) 8 : 7
d) 7 : 6
Answer: c
Explanation:
$$\eqalign{
& {\text{A’s age = }}\left( {44 \times \frac{6}{{11}}} \right){\text{years}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = 24 years}} \cr
& {\text{and B’s age = }}\left( {44 – 24} \right){\text{years}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{ = 20 years}} \cr} $$
Ratio of their ages after 8 years
$$\eqalign{
& {\text{ = }}\frac{{\left( {24 + 8} \right)}}{{\left( {20 + 8} \right)}} \cr
& = \frac{{32}}{{28}} \cr
& = \frac{8}{7} \cr
& = 8:7 \cr} $$
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