This puzzle gives us three weight combinations:

• Raccoon + Cat = 10 kg
• Raccoon + Dog = 20 kg
• Cat + Dog = 24 kg

We need to find:

Raccoon + Cat + Dog = ?

Step 1: Add all three equations

(R+C)+(R+D)+(C+D)=10+20+24(R+C)+(R+D)+(C+D)=10+20+24(R+C)+(R+D)+(C+D)=10+20+24 2R+2C+2D=542R+2C+2D=542R+2C+2D=54Each animal appears exactly twice, so divide both sides by 2:

R+C+D=27R+C+D=27R+C+D=27✅ Correct Answer: 27 kg

The raccoon, cat, and dog together weigh 27 kilograms.

You can also calculate their individual weights:

• Raccoon = 3 kg
• Cat = 7 kg
• Dog = 17 kg

Check:

3+7=103+7=103+7=10 3+17=203+17=203+17=20 7+17=247+17=247+17=24Therefore:

3+7+17=27 kg3+7+17=\boxed{27\text{ kg}}3+7+17=27 kg​Final answer: 27 kg.