Students solve a detective puzzle by memorizing clues and identifying names and ages.

To solve this detective puzzle, we need to match the names, ages, and characteristics of the individuals based on the given clues. Let's break it down step by step.

Step 1: Identify the characters and their roles

From the image:
- Lumberjack: Tall man with a beard.
- Photographer: Man holding a camera.
- Woman with a cat: Woman wearing a hat and holding a flower, with a cat next to her.
- Scientist: Man in a lab coat.
- Musician: Woman wearing headphones and carrying a musical instrument.

Step 2: Analyze the clues

#### Clue 1: The woman with the cat is 30 years old.
- The woman with the cat is 30 years old.

#### Clue 2: Edward is to the left of Bob.
- Edward is positioned to the left of Bob.

#### Clue 3: The tallest man is 40 years old.
- The tallest man (lumberjack) is 40 years old.

#### Clue 4: Sally likes music.
- Sally is the musician (woman with headphones).

#### Clue 5: Kumar is 55 years old.
- Kumar is 55 years old.

#### Clue 6: Janet is next to the oldest man.
- Janet is next to the oldest man (Kumar).

#### Clue 7: The youngest woman is 25 years old.
- The youngest woman is 25 years old.

#### Clue 8: One of the men is 35 years old.
- One of the men is 35 years old.

Step 3: Solve the puzzle

Let's assign names and ages step by step.

#### Assigning ages:
1. Kumar is 55 years old (Clue 5).
2. The tallest man is 40 years old (Clue 3). This is the lumberjack.
3. The woman with the cat is 30 years old (Clue 1).
4. The youngest woman is 25 years old (Clue 7). This must be the other woman (not Sally or the woman with the cat).
5. One of the men is 35 years old (Clue 8). This must be either the photographer or the scientist.

#### Positioning:
1. Janet is next to the oldest man (Clue 6). Since Kumar is the oldest, Janet must be next to him.
2. Edward is to the left of Bob (Clue 2). This gives us a relative position for Edward and Bob.
3. Sally likes music (Clue 4). Sally is the musician, so she is the woman with headphones.

#### Final assignments:
- Kumar (55): Oldest man, so he is the scientist.
- Lumberjack (40): Tallest man.
- Woman with the cat (30): She is not Sally, so she must be Janet.
- Youngest woman (25): The other woman, who is not Sally or Janet.
- Photographer (35): The remaining man.

#### Names and positions:
- Kumar (55): Scientist.
- Lumberjack (40): Tallest man.
- Janet (30): Woman with the cat.
- Youngest woman (25): The other woman.
- Photographer (35): Edward (since he is to the left of Bob).
- Bob: The remaining man.
- Sally (musician): Woman with headphones.

Final Answer:

\[
\boxed{
\begin{array}{c|c|c}
\text{Name} & \text{Age} & \text{Role} \\
\hline
\text{Kumar} & 55 & \text{Scientist} \\
\text{Lumberjack} & 40 & \text{Tallest man} \\
\text{Janet} & 30 & \text{Woman with the cat} \\
\text{Youngest woman} & 25 & \text{Other woman} \\
\text{Edward} & 35 & \text{Photographer} \\
\text{Bob} & \text{(remaining age)} & \text{(remaining role)} \\
\text{Sally} & \text{(remaining age)} & \text{Musician} \\
\end{array}
}
\]