Question 958413
Lt the number be {{{ a }}}, {{{b }}}, and {{{c }}}
(1) {{{ a + b + c = 50 }}}
(2) {{{ b = 3a }}}
(3) {{{ c = 2b }}}
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(2) {{{ a = b/3 }}}
Substitute (2) and (3) into (1)
(1) {{{ b/3 + b + 2b = 50 }}}
(1) {{{ b + 3b + 6b = 150 }}}
(1) {{{ 10b = 150 }}}
(1) {{{ b = 15 }}}
and
(3) {{{ c = 2b }}}
(3) {{{ c = 30 }}}
and
(2) {{{ a = b/3 }}}
(2) {{{ a = 15/3 }}}
(2) {{{ a = 5 }}}
The numbers are 5, 15, and 30
check:
(1) {{{ a + b + c = 50 }}}
(1) {{{ 5 + 15 + 30 = 50 }}}
(1) {{{ 50 = 50 }}}
OK