Symbol puzzles

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. Start with the fact that has only one unknown.
  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. Start with the fact that has only one unknown.

  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.