Unlocking the Puzzle Clues
This quirky math puzzle blends numbers with animals — and it’s surprisingly fun! Here’s how it starts:
(Table – Turtle) + Cat = 170
(Table – Cat) + Turtle = 130
Now, the goal is to find the values of Table
Rewriting Equations for Clarity
We simplify both equations using algebra.
From equation 1:
Table – Turtle + Cat = 170
→ Table = 170 – Cat + Turtle (1)
From equation 2:
Table – Cat + Turtle = 130
→ Table = 130 – Turtle + Cat (2)
Now equating (1) and (2):
170 – Cat + Turtle = 130 – Turtle + Cat
Combining Like Terms
We simplify both sides:
170 – Cat + Turtle = 130 – Turtle + Cat
Move variables:
→ 170 – 130 + Turtle + Turtle = Cat + Cat
→ 40 + 2Turtle = 2Cat
Divide both sides by 2:
→ 20 + Turtle = Cat (3)
Back-Substitute to Find Table
Let’s use equation (2) again:
Table = 130 – Turtle + Cat
Now, replace Cat with 20 + Turtle from equation (3):
→ Table = 130 – Turtle + (20 + Turtle)
→ Table = 130 + 20
→ Table = 150
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