Question 940664
U and T the digits.
{{{U+T=11}}}


{{{10U+T=-27+(10T+U)}}}


Goal is to find 10T+U.



Simplify the second equation:
{{{10U+T-U-10T=-27}}}
{{{9U-9T=-27}}}
{{{U-T=3}}}


Summarize simplified system:
{{{system(T+U=11,-T+U=3)}}}
Ready for easy elimination method.
{{{2U=14}}}
{{{highlight(U=7)}}}
-
{{{T=11-U}}}
{{{T=11-7}}}
{{{highlight(T=4)}}}
-
The two-digit number is 47.