## Puzzle Details

Start with a number larger than 0, square it, add 4, double, take away 3, times 4 and finally subtract the original number.

If you were now left with 20, what number did you start with?

Puzzle Copyright © Kevin Stone

hint
answer
workings

A box for your workings out:

**Hint:** A little algebra might help.

**Answer:** 1/8.

If we convert the question to algebra we have:

((n^2 + 4) x 2 - 3) x 4 - n = 20

Expanding the brackets and simplifying gives:

(2n^2 + 8 - 3) x 4 - n = 20

(2n^2 + 5) x 4 - n = 20

8n^2 + 20 - n = 20

8n^2 - n = 0

8n = 1

n = 1/8

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