,
,
,
and
.
We note first that
since that is the only non-zero digit that, when it
is multiplied by 3, has itself as the units digit. So there is a carry of 1
into the tens column. We note also that
or
as "
"
and
therefore
"
"
. We now need
to end in either
1 or 2 and the only possibility is
, giving
with a carry of 2 into
the hundreds column. As
,
must be at least 6. However, if
then
which is not allowed. Also, the letters represent different
digits, so
and we can also deduce that
since
would
make
. Hence
, making
and the letters represent
.