# The ratio between the school ages of Neelam and Shaan is 5 : 6 respectively. If the ratio between the one-third age of Neelam and half of Shaan’s age is 5 : 9, then what is the school age of Shaan ?

$\par&space;Let&space;the&space;school&space;ages&space;of&space;Neelam&space;and&space;Shaan&space;be&space;5x&space;and&space;6x&space;years&space;respectively.$

$\frac{\frac{1}{3}&space;\times&space;5x}{\frac{1}{2}&space;\times&space;6x}&space;=&space;\frac{5}{9}$

$(\frac{1}{3}\times&space;9\times&space;5x)&space;=&space;(\frac{5}{2}\times&space;6x)$

$15&space;=&space;15$

$\par&space;Thus,&space;Shaan's&space;age&space;cannot&space;be&space;determined.$