Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anands present age in years?
24
27
40
Cannot be determined
Explanation:
Let the present ages of Sameer and Anand be 5$ x $ years and 4$ x $ years respectively.
| Then,$ \dfrac{5x + 3}{4x + 3} $=$ \dfrac{11}{9} $ |
$\Rightarrow$ 9$\left(5x+ 3\right)$ = 11$\left(4x+ 3\right)$
$\Rightarrow$ 45$ x $ + 27 = 44$ x $ + 33
$\Rightarrow$ 45$ x $ - 44$ x $ = 33 - 27
$\Rightarrow x $ = 6.
$\therefore$ Anands present age = 4$ x $ = 24 years.