A is 2 years older to B. B is 5 years younger to C. C is 3 years older to D. D is 6 years younger to E. Who is the youngest?

Options

A. A
B. B
C. C
D. D

Explanation

To solve the problem step by step, we will assign variables to each person's age based on the relationships given in the question.

1. **Assign Variables:**
Let B's age be \( x \).
- Since A is 2 years older than B, we can express A's age as:
\[ A = x + 2 \]

2. **Find C's Age:**
- B is 5 years younger than C, so we can express C's age as:
\[ C = x + 5 \]

3. **Find D's Age:**
- C is 3 years older than D, so we can express D's age as:
\[ D = C - 3 = (x + 5) - 3 = x + 2 \]

4. **Find E's Age:**
- D is 6 years younger than E, so we can express E's age as:
\[ E = D + 6 = (x + 2) + 6 = x + 8 \]

5. **Summarize Ages:**
Now we have the ages expressed in terms of \( x \):
- A = \( x + 2 \)
- B = \( x \)
- C = \( x + 5 \)
- D = \( x + 2 \)
- E = \( x + 8 \)

6. **Determine the Youngest:**
To find out who is the youngest, we compare all the ages:
- B = \( x \) (youngest)
- A = \( x + 2 \)
- D = \( x + 2 \)
- C = \( x + 5 \)
- E = \( x + 8 \)

Since \( x \) is the smallest value, B is the youngest.

**Final Answer:**
B is the youngest.

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