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Riddle Math Problems - Free Printable

Riddle Math Problems

Educational worksheet: Riddle Math Problems. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Riddle Math Problems
Let's solve this riddle step by step.

We are given a series of equations using shapes:

1. ○ + ○ = 10
2. ○ × □ + □ = 12
3. ○ × □ − △ × ○ = ○
4. Find: △ = ?

Let’s assign variables:
- Let ○ = A
- Let □ = B
- Let △ = C

Now rewrite the equations:

Equation 1:


A + A = 10
→ 2A = 10
→ A = 5

So, ○ = 5

---

Equation 2:


A × B + B = 12
Substitute A = 5:
5 × B + B = 12
→ 5B + B = 12
→ 6B = 12
→ B = 2

So, □ = 2

---

Equation 3:


A × B − C × A = A
Substitute A = 5, B = 2:
5 × 2 − C × 5 = 5
→ 10 − 5C = 5
→ −5C = 5 − 10
→ −5C = −5
→ C = 1

So, △ = 1

---

Final Answer:


△ = 1

The triangle represents 1.

---

Check all equations:


1. ○ + ○ = 5 + 5 = 10
2. ○ × □ + □ = 5 × 2 + 2 = 10 + 2 = 12
3. ○ × □ − △ × ○ = 5 × 2 − 1 × 5 = 10 − 5 = 5 = ○

All equations are satisfied!

Answer: △ = 1

Parent Tip: Review the logic above to help your child master the concept of riddle math.
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