Raghu’s present age is 6 years more than two-thirds of Ravi’s present age. If Ravi’s present age is x years, then Raghu’s age 9 years ago be expressed algebraically as $\left[\left(\frac{2}{3}x+6\right)-9\right]$ years.

Ravi’s present age is x years.

Raghu’s present age is 6 years more than two-thirds of Ravi’s present age.

Therefore, Raghu’s present age is  $\left(\frac{2}{3}x+6\right)$years.

Thus, 9 years ago, Raghu’s age was $\left[\left(\frac{2}{3}x+6\right)-9\right]$ years