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1. 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 = ?

A. 25 years

B. 30 years

C. 36 years

D. Cannot be determined

Solution:

Let Neelam's age be 5x years and
Shiny's age be 6x years

\begin{aligned} (\frac{1}{3} \times 5 x) : (\frac{1}{2} \times 6 x) = 5 : 9 \\ \Rightarrow \frac{5 x}{3 \times 3 x} = \frac{5}{9} \end{aligned}

Thus, Shiny's age cannot be determined

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