Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?
16 years
18 years
28 years
24.5 years
Explanation:
Let Rahuls age be $ x $ years.
Then, Sachins age = $\left(x - 7\right)$ years.
| $\therefore \dfrac{x - 7}{x} $=$ \dfrac{7}{9} $ |
$\Rightarrow$ 9$ x $ - 63 = 7$ x $
$\Rightarrow$ 2$ x $ = 63
$\Rightarrow x $ = 31.5
Hence, Sachins age =$\left(x - 7\right)$ = 24.5 years.