No. 215

From the number 215 we can create a four-digit number that among its numbers manually type any other digit. Thus, we created two four-digit numbers whose difference is 120.

What two four-digit numbers that might be?

Correct result:

a =  2315
b =  2195

Solution:

$2X15 - 21Y5 = 120 \ \\ 2X1 - 21Y = 12 \ \\ 11-Y = 2 \ \\ Y = 9 \ \\ 2X1 - 219 = 12 \ \\ X = 3 \ \\ 2315-2195=120 \ \\ a = 2315$
$b=2195$

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