Think of a number, any number

Add 3.

Double that

Subtract 4.

Cut that in half.

Subtract your original number,

Explain why the answer is always 1, regardless of

the number you began with.

Step-by-step explanation:

think of any number : x

add 3 : x+3

double that : 2 (x+3)

subtract 4 : 2 (x+3) - 4

cut in half (divide by 2) : (2 (x+3) - 4) / 2

subtract original number : (2 (x+3) - 4) / 2-x

if you simplify, you will end up with 1

Step by Step simplification

2 (x+3) = 2x+6 double that

2x+6-4=2x+2 subtract 4 : 2 (x+3) - 4

(2x+2) / 2 = x+1 cut in half (divide by 2)

x+1-x = 1 subtract original number