Question 954258
Let the tens digit = {{{ a }}}
Let the units digit = {{{ b }}}
-------------------------
(1) {{{ a + b = 11 }}}
(2) {{{ 10b + a = 10a + b + 45 }}}
------------------------------
(2) {{{ -9a + 9b = 45 }}}
(2) {{{ -a + b = 5 }}}
-------------------
Add (1) and (2)
{{{ 2b = 16 }}}
{{{ b = 8 }}}
and
(1) {{{ a + b = 11 }}}
(1) {{{ a = 11 - b }}}
(1) {{{ a = 11 - 8 }}}
(1) {{{ a = 3 }}}
---------------
The number is 38
--------------------
check:
With digits reversed: 83
{{{ 83 - 38 = 45 }}}
83 is 45 more than 38
OK