Eight persons A, B, C, D, E, F, G, and H work in a company across three departments — Production, Management, and Finance — holding two posts: Manager and General Manager. Each has a unique whole number age. Given the following information:

- E’s age is twice that of C.
- A is 53 years old and works in Production.
- The persons whose combined age is 100 years work in Finance as General Managers.
- F works in Production.
- B works in Management but not with D, and B and D hold different posts.
- H and G hold the same post but are not in Production.
- H and F hold different posts.
- No more than two persons hold the same post in the same department.
- E and A work in the same department but hold different posts.
- A and D hold different posts.
- The sum of ages of C and G is 64.
- C and D are Managers but in different departments, neither in Production.
- E is 12 years older than F and 12 years younger than H.
- The difference between the ages of C and D equals H’s age.
- B is 30 years old, which is half of H’s age.

**Question:** Who among the following is 40 years old?

Question

Eight persons A, B, C, D, E, F, G, and H work in a company across three departments — Production, Management, and Finance — holding two posts: Manager and General Manager. Each has a unique whole number age. Given the following information:

- E’s age is twice that of C.
- A is 53 years old and works in Production.
- The persons whose combined age is 100 years work in Finance as General Managers.
- F works in Production.
- B works in Management but not with D, and B and D hold different posts.
- H and G hold the same post but are not in Production.
- H and F hold different posts.
- No more than two persons hold the same post in the same department.
- E and A work in the same department but hold different posts.
- A and D hold different posts.
- The sum of ages of C and G is 64.
- C and D are Managers but in different departments, neither in Production.
- E is 12 years older than F and 12 years younger than H.
- The difference between the ages of C and D equals H’s age.
- B is 30 years old, which is half of H’s age.

**Question:** Who among the following is 40 years old?

Accepted Answer

**Solution:**

1. From the given data, B is 30 years old and B's age is half of H's age, so:
   $$H = 2 	imes 30 = 60$$

2. E is 12 years younger than H, so:
   $$E = 60 - 12 = 48$$

3. E is also 12 years older than F, so:
   $$F = 48 - 12 = 36$$

4. E’s age is twice C’s age:
   $$E = 2 	imes C ightarrow 48 = 2 	imes C ightarrow C = 24$$

5. Sum of ages of C and G is 64:
   $$C + G = 64 ightarrow 24 + G = 64 ightarrow G = 40$$

6. The difference between ages of C and D equals H’s age:
   $$|C - D| = H = 60$$
   Since C is 24, D must be either 24 + 60 = 84 or 24 - 60 (which is negative and invalid). So,
   $$D = 84$$

7. A is 53 years old.

8. The persons whose total age is 100 work in Finance as General Managers. Since B is 30 and H is 60, their sum is 90, so likely others fit this condition, but this is not directly needed for this question.

**Answer:** The person who is 40 years old is **G**.

Answer

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