Question 488223
Let {{{h}}} = Homer's age now
Let {{{a}}} = Andrew's age now
given:
(1) {{{ h-2 = a - 2 + 23 }}}
(2) {{{ h + 12 = 2*(a + 12) + 6 }}}
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(1) {{{ h - a = 23 }}}
(2) {{{ h + 12 = 2a + 24  + 6 }}}
(2) {{{ h - 2a = 30 - 12 }}}
(2) {{{ h - 2a = 18 }}}
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Subtract (2) from (1)
(1) {{{ h - a = 23 }}}
(2) {{{ -h + 2a = -18 }}}
{{{ a = 5 }}}
and, since
(2) {{{ h - 2a = 18 }}}
(2) {{{ h - 10 = 18 }}}
(2) {{{ h = 28 }}}
Homer is 28 and his son is 5
check:
(2) {{{ h + 12 = 2*(a + 12) + 6 }}}
(2) {{{ 28 + 12 = 2*(5 + 12) + 6 }}}
(2) {{{ 40 = 2*17 + 6 }}}
(2) {{{ 40 = 34 + 6 }}}
(2) {{{ 40 = 40 }}}
OK