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Symbol puzzles, step by step

A triangle plus a triangle makes ten, so a triangle is five.

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The question

◆ + ◆ + ◆ = 12 and ◆ + ■ = 6. What is ■?

◆ + ◆ + ◆ = 12 and ◆ + ■ = 6. What is ■?

◆ + ◆ + ◆ = 12 and ◆ + ■ = 6. What is ■?
12÷3=4
12÷3=4
6−4=2
  1. Two unknown symbols and two facts. Do not start where the question points — start where there is only ONE thing you do not know, because that is the only place an answer can come from.
  2. The first fact is the same symbol 3 times and nothing else, so it is that symbol multiplied by 3: 12 ÷ 3 = 4.
  3. Now the next fact has only one unknown left in it — it is 6 take away the 4: 6 − 4 = 2.

How it works.

  1. 01

    Two unknown symbols and two facts. Do not start where the question points — start where there is only ONE thing you do not know, because that is the only place an answer can come from.

  2. 02

    The first fact is the same symbol 3 times and nothing else, so it is that symbol multiplied by 3: 12 ÷ 3 = 4.

  3. 03

    Now the next fact has only one unknown left in it — it is 6 take away the 4: 6 − 4 = 2.

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