Question 764032
Let the numbers be {{{ a }} }and {{{ b }}}
The larger number is {{{ a }}}
given:
(1) {{{ a + b = 41 }}}
(2) {{{ a = 2b - 1 }}}
----------------
Substitute (2) into (1)
(1) {{{ 2b - 1 + b = 41 }}}
(1) {{{ 3b = 42 }}}
(1) {{{ b = 14 }}}
and, since
(2) {{{ a = 2b - 1 }}}
(2) {{{ a = 2*14 - 1 }}}
(2) {{{ a = 27 }}}
The larger number is 27