Eight individuals A, B, C, D, E, F, G, and H are employed in a company across three departments — Production, Management, and Finance — holding two ty...
Question
Eight individuals A, B, C, D, E, F, G, and H are employed in a company across three departments — Production, Management, and Finance — holding two types of posts: Manager and General Manager. Each person has a unique whole number age. The following information is given:
- E's age is twice that of C.
- A is 53 years old and works in Production.
- The employees whose combined age totals 100 years work in Finance as General Managers.
- F works in Production.
- B works in Management but not in the same department as D, and B and D hold different posts.
- H and G hold the same post but do not work in Production.
- H and F hold different posts.
- No more than two persons hold the same post within the same department.
- E and A work in the same department but hold different posts.
- A and D hold different posts.
- The sum of the ages of C and G is 64 years.
- 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: How many persons are working as Managers?