1. **Stating the problem:** We are given three people: Jinadasa, Siridasa, and Amaradasa. Siridasa is 8 years younger than Jinadasa, Amaradasa is 3 years older than Siridasa, and the sum of their ages is 122 years. We need to find Jinadasa's age. 2. **Define variables:** Let Jinadasa's age be $x$ years. 3. **Express other ages in terms of $x$:** - Siridasa's age = $x - 8$ - Amaradasa's age = Siridasa's age + 3 = $(x - 8) + 3 = x - 5$ 4. **Write the equation for the sum of ages:** $$x + (x - 8) + (x - 5) = 122$$ 5. **Simplify the equation:** $$x + x - 8 + x - 5 = 122$$ $$3x - 13 = 122$$ 6. **Solve for $x$:** $$3x = 122 + 13$$ $$3x = 135$$ $$x = \frac{135}{3} = 45$$ 7. **Conclusion:** Jinadasa's age is 45 years. This matches the option 45.