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27 November, 17:29

Repeat the following procedure for the four given numbers.

Multiply the number by 4.

Add 12 to the product.

Divide this sum by 2.

Subtract 6 from the quotient.

1st number is 3.

2nd number is 6.

3rd number is 8.

4th number is 12.

Write a conjecture that relates the result of the process to the original number selected. Represent the original number as N. What is the result?

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Answers (2)
  1. 27 November, 18:50
    0
    We do reverse engineering

    12 is the quotient. 12 + 6 is 18

    18 * 2 is equal to 36

    36 - 12 is equal to 24

    24 divided by 4 is equal to 6.

    N = original number = 6
  2. 27 November, 19:18
    0
    3

    multiply by 4

    12

    add 12

    24

    divide by 2

    12

    subtract 6

    6

    number 6 : 6 (4) = 24 ... + 12 = 36 ... 36/2 = 18 ... - 6 = 12

    number 8 : 8 (4) = 32 ... + 12 = 44 ... 44/2 = 22 ... - 6 = 16

    number 12: 12 (4) = 48 ... + 12 = 60 ... 60/2 = 30 ... - 6 = 24

    well ... by following these steps, it appears the original number doubles as a result.
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