Question 500093
{{{t}}} = Tom's amount
{{{j}}} = Jack's amount
{{{h}}} = Harry's amount
given:
(1) {{{ t = j + 5 }}}
(2) {{{ j = h + 11 }}}
(3) {{{ t + j + h = 45 }}}
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There are 3 equations and 3 unknowns, so it's solvable
(2) {{{ h = j - 11 }}}
Substitute (1) and (2) into (3)
(3) {{{ t + j + h = 45 }}}
(3) {{{ j + 5 + j + j - 11 = 45 }}}
(3) {{{ 3j - 6 = 45 }}}
(3) {{{ 3j = 51 }}}
(3) {{{ j = 17 }}}
from (1),
(1) {{{ t = j + 5 }}}
(1) {{{ t = 17 + 5 }}}
(1) {{{ t = 22 }}}
from (2)
(2) {{{ h = j - 11 }}}
(2) {{{ h = 17 - 11 }}}
(2) {{{ h = 6 }}}
Tom has $22, Jack has $17, Harry has $6