Question
The ratio between the ages of Neelam and Shiny is 5 : 6 respectively. If the ratio between the one-third age of Neelam and half of Shiny's age is 5 : 9, then what is Shiny's age = ?
Answer: Option D
Let Neelam's age be 5x years and Shiny's age be 6x years
$$\eqalign{
& \left( {\frac{1}{3} \times 5x} \right):\left( {\frac{1}{2} \times 6x} \right) = 5:9 \cr
& \Rightarrow \frac{{5x}}{{3 \times 3x}} = \frac{5}{9} \cr} $$
Thus, Shiny's age cannot be determined
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Let Neelam's age be 5x years and Shiny's age be 6x years
$$\eqalign{
& \left( {\frac{1}{3} \times 5x} \right):\left( {\frac{1}{2} \times 6x} \right) = 5:9 \cr
& \Rightarrow \frac{{5x}}{{3 \times 3x}} = \frac{5}{9} \cr} $$
Thus, Shiny's age cannot be determined
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