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.