1. **State the problem:** The present ages of Anmol and Supriya are in the ratio $2:3$. After 10 years, their ages will be in the ratio $3:4$. We need to find the present age of Anmol. 2. **Set variables:** Let the present age of Anmol be $2x$ and the present age of Supriya be $3x$ since their ratio is $2:3$. 3. **Write the equation for future ages:** After 10 years, Anmol's age will be $2x + 10$ and Supriya's age will be $3x + 10$. Their ratio at that time is given as $3:4$, so: $$\frac{2x + 10}{3x + 10} = \frac{3}{4}$$ 4. **Solve the equation:** Cross-multiply to get: $$4(2x + 10) = 3(3x + 10)$$ $$8x + 40 = 9x + 30$$ 5. **Simplify:** $$8x + 40 = 9x + 30$$ Subtract $8x$ from both sides: $$40 = x + 30$$ Subtract 30 from both sides: $$x = 10$$ 6. **Find Anmol's present age:** Since Anmol's present age is $2x$, substitute $x=10$: $$2 \times 10 = 20$$ **Answer:** Anmol's present age is 20 years.