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Earlier discussion
1 older comment kept for context.
Kim
3x-2=y. 1st sentence
The original number= 10x+y
(When interchanged), number is 10y+x
10y+x-36=10x+y
9y-9x=36; y+x=4
y=4+x
Substitute y=4+x in 1st sentence
3x-2=4+x
3x-x=4+2; 2x=6
x=3
Substitute x=3 in the first sentence
3(3)-2=y
y=9-2=7
The original number is xy =37