Hello everybody I have a math puzzle from "the numerology of Dr. Matrix" It is an old book I think from the 60s I got this puzzle from a magazine that copied it.

Find the smallest positive integer such that, if you place a 4 in front of it, you get a number that is exactly four times as large as you get if you place a 4 at the end of the number.

I have spent hours just trying to understand what is being said. I loathe the convoluted language of some math problems. I think it is unnecessary. Anyway I am not sure if the puzzle is saying

4integer multiplied by 4= 4integer4

which I think is impossible because 4integer multiplied by 4 will give a number that starts with 1 because 4 multiplied by 4 is 16.

Or if the question is saying

4integer multiplied by 4= integer4,

if so the question is poorly written because it says in the last line, "the number" not the "positive integer"

Okay I hope I have made everything clear. I like play on numbers puzzles I dislike the annoying language sometimes used. Its like jeez English is very important.

I welcome any feedback