Answer :
If the difference between two numbers is 12, those two numbers may be:
13...1
14...2
15...3
16...4
etc...
We can ignore numbers which can be divided by themselves (like 2...14 or 4...16), so we have:
13...1
17...5
19...7
20...8
21...9
22...10
Let's stop here and find LCMs of given numbers:
13...1 = 13
17...5 = 85
19...7 = 133
20...8 = 40
21...9 = 63
22...10 = 110
So as we can see the numbers we're looking for are 19 and 7.
13...1
14...2
15...3
16...4
etc...
We can ignore numbers which can be divided by themselves (like 2...14 or 4...16), so we have:
13...1
17...5
19...7
20...8
21...9
22...10
Let's stop here and find LCMs of given numbers:
13...1 = 13
17...5 = 85
19...7 = 133
20...8 = 40
21...9 = 63
22...10 = 110
So as we can see the numbers we're looking for are 19 and 7.