Person A is 3 years younger than B, and person C is 2 years older than A. What is B’s relation to C (who is older/younger and by how much)?

Difficulty: Easy

Correct Answer: One year older

Explanation:

Introduction / Context:Chain simple differences to compare two people indirectly via a third person.

Given Data / Assumptions:

  • A = B − 3
  • C = A + 2

Concept / Approach:Express C in terms of B and then compare B and C directly.

Step-by-Step Solution:

C = (B − 3) + 2 = B − 1Therefore, B = C + 1 ⇒ B is one year older than C.

Verification / Alternative check:Pick B = 10 ⇒ A = 7 ⇒ C = 9 ⇒ B is 1 year older than C, consistent.

Why Other Options Are Wrong:Two years older/younger or one year younger contradict C = B − 1.

Common Pitfalls:Reversing who is older due to sign mistakes in the differences.

Final Answer:One year older.

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