Verified Answer :

naǫ

x, y - the numbers

\(x+y=58 \\ \underline{x-y=16} \\ x+x+y-y=58+16 \\ 2x=74 \\ x=37 \\ \\ x+y=58 \\ 37+y=58 \\ y=21\)

The two numbers are 37 and 21.