Final answer:
The given conditions lead us to form an equation that contradicts itself (shows -10 = -20), which indicates there no valid ages exist for Rishi and Vani that satisfy the given conditions.
Step-by-step explanation:
The subject of the question is mathematics, specifically algebraic word problems. In this problem, we are given that Rishi is twice as old as Vani. If we represent Vani's age as x, then Rishi's age would be 2x. The problem also says that ten years ago, Rishi was still twice Vani's age. Therefore, the equation (2x - 10) = 2*(x - 10) can be set up to represent this relationship.
By solving this equation, we get:
- 2x - 10 = 2x - 20
- After cancelling 2x on both sides, we get -10 = -20
- The equation is false, indicating there is no solution, and thus no such ages exist for Rishi and Vani that satisfy these conditions.
Learn more about Algebraic Word Problems