Question 1016571
Let {{{ t }}} = Tom's age now
Let {{{ k }}} = Kori's age now
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(1) {{{ t = k + 5 }}}
(2) {{{ t + 6 + k + 6 = 79 }}}
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(2) {{{ t + k = 67 }}}
and
(1) {{{ t - k = 5 }}}
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Add the equations
{{{ 2t = 72 }}}
{{{ t = 36 }}}
and
(1) {{{ t = k + 5 }}}
(1) {{{ 36 = k + 5 }}}
(1) {{{ k = 31 }}}
Tom is 36 now
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check:
(1) {{{ t = k + 5 }}}
(1) {{{ 36 = 31 + 5 }}}
(1) {{{ 36 = 36 }}}
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(2) {{{ t + k = 67 }}}
(2) {{{ 36 + 31 = 67 }}}
(2) {{{ 67 = 67 }}}
OK