What number am I thinking of? (Integer)

Number Theory Level 2

I think of a number and I do the following steps:

  1. Add 12
  2. Divide by 25
  3. Times by 16
  4. Divided by 8
  5. Square root the answer
  6. Divide by 4

I get 0.5. What number was I thinking of?


The answer is 38.

Muhammad Zeeshan Zaman by Muhammad Zeeshan Zaman , 22, United Kingdom

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2 solutions

Mohammad Farhat
Sep 1, 2018

I am working backwards(I am essentially reversing everything) \large \text{ I am working backwards(I am essentially reversing everything)}

6 t h : 0.5 × 4 = 2 \large 6^{th} : 0.5 \times 4 = 2 5 t h : 2 2 = 4 \large 5^{th} : 2^2 = 4 4 t h : 4 × 8 = 32 \large 4^{th} : 4 \times 8 = 32 3 r d : 32 ÷ 16 = 2 \large 3^{rd} : 32 \div 16 = 2 2 n d : 2 × 25 = 50 \large 2^{nd} : 2 \times 25 = 50 1 s t : 50 − 12 = 38 \large 1^{st} : 50 - 12 = 38

THANK YOU FOR YOUR TIME! \huge \text {THANK YOU FOR YOUR TIME!}

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Just start from the bottom and make your way the the top.

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