A is 3 years younger than C but one year older than D. D is one year older than B but 4 years younger than C. C is 15 years old. What is the age of B in years?

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Accepted Answer

From the given information:  
1. A is 3 years younger than C:  
   $$ A = C - 3 $$

2. A is one year older than D:  
   $$ A = D + 1 $$

3. D is one year older than B:  
   $$ D = B + 1 $$

4. D is 4 years younger than C:  
   $$ D = C - 4 $$

Given that $$ C = 15 $$, substitute this value into the equations:  
- From $$ D = C - 4 $$:  
  $$ D = 15 - 4 = 11. $$

- From $$ A = C - 3 $$:  
  $$ A = 15 - 3 = 12. $$

- From $$ D = B + 1 $$:  
  $$ B = D - 1 = 11 - 1 = 10. $$

Thus, B's age is **10 years**, which corresponds to option **(d)**.

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