Let's solve this fun math puzzle step by step using the given equations and symbols.
We have
four different gaming devices represented as icons:
1. 🎮
Nintendo Switch (Joy-Con style) – Let's call it
S
2. 🕹️
Arcade Machine – Let's call it
A
3. 📱
Game Boy / Handheld Console – Let's call it
G
4. 🎮
Xbox-style Controller – Let's call it
X
We are given 4 equations, and we need to find the value of the final expression.
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🔢 Step 1: Write down the equations
#### Equation 1:
> S × A × S = 216
→ S² × A = 216
(1)
#### Equation 2:
> G + S + G = 40
→ 2G + S = 40
(2)
#### Equation 3:
> 36 = A × S
→ A × S = 36
(3)
#### Equation 4:
> S + X + G = 99
(4)
#### Final Question:
> A × (S + S) + (X + X) = ?
→ A × (2S) + 2X = ?
So we need to find:
2AS + 2X = ?
But from equation (3), we know:
AS = 36, so
2AS = 72
So the final answer will be:
72 + 2X
So we just need to find
X, the value of the Xbox controller.
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🔍 Solve step-by-step
From
(3):
A × S = 36 → A = 36/S
Plug into
(1):
S² × A = 216
Substitute A:
S² × (36/S) = 216
→ 36S = 216
→ S = 216 ÷ 36 =
6
✔ So
S = 6
Now from (3):
A × S = 36 → A × 6 = 36 → A = 6
✔ So
A = 6
Now from (2):
2G + S = 40 → 2G + 6 = 40 → 2G = 34 → G = 17
✔ So
G = 17
Now from (4):
S + X + G = 99 → 6 + X + 17 = 99 → X + 23 = 99 → X = 76
✔ So
X = 76
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✔ Now compute the final expression:
> A × (S + S) + (X + X)
= A × (2S) + 2X
= 6 × (2×6) + 2×76
= 6 × 12 + 152
= 72 + 152
=
224
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✔ Final Answer: 224
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🎉 Summary of Values:
- Nintendo Switch (S) = 6
- Arcade Machine (A) = 6
- Game Boy (G) = 17
- Xbox Controller (X) = 76
Final Expression:
> Arcade × (Switch + Switch) + (Controller + Controller)
= 6 × (6 + 6) + (76 + 76)
= 6 × 12 + 152 = 72 + 152 =
224
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✔ Answer: 224 🎯
Parent Tip: Review the logic above to help your child master the concept of games math.