Question 150546
t=tens digit
u=units digit
x=number we're looking for


2t=u
x=5u+6


{{{0<u<10}}}
Plug in a value from this range
try 1


2t=1
t=1/2
not a digit


try 2
2t=2
t=1
that would make the number 12.
x=5u+6
x=5(2)+6
x=16, not 12


try 3
2t=3
t=3/2
not a digit
*following this pattern, we see that the units is an even number, since odds give us non-digits.


try 4
2t=4
t=2
that would make the number 24
x=5(4)+6
x=26, not 24


try 6
2t=6
t=3
That would make the number 36
x=5(6)+6
x=36
It works.


Therefore, the number is 36.