1. **State the problem:** Nilopal is 2 years older than Devjan, who is 7 years older than John. Their combined age is 61 years. We need to find the age of each person.
2. **Define variables:** Let John's age be $x$ years.
3. **Express other ages in terms of $x$:**
- Devjan's age = $x + 7$
- Nilopal's age = Devjan's age + 2 = $x + 7 + 2 = x + 9$
4. **Write the equation for their combined age:**
$$x + (x + 7) + (x + 9) = 61$$
5. **Simplify the equation:**
$$3x + 16 = 61$$
6. **Isolate $x$:**
$$3x = 61 - 16$$
$$3x = 45$$
7. **Divide both sides by 3:**
$$\cancel{3}x = \cancel{3}15$$
$$x = 15$$
8. **Find each person's age:**
- John = $15$ years
- Devjan = $15 + 7 = 22$ years
- Nilopal = $15 + 9 = 24$ years
**Final answer:** John is 15 years old, Devjan is 22 years old, and Nilopal is 24 years old.
Age Problem 2C474E
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