Question 601828
Let {{{ f }}} = Father's age
Let {{{ s }}} = Son's age
Let {{{ d }}} = Daughter's age
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given:
(1) {{{ f = 2s }}}
(2) {{{ f = 3d }}}
(3) {{{ f = s + d + 8 }}}
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(1) {{{ s = f/2 }}}
(2) {{{ d = f/3 }}}
By substitution,
(3) {{{ f = f/2 + f/3 + 8 }}}
(3) {{{ 6f = 3f + 2f + 48 }}}
(3) {{{ 6f - 5f = 48 }}}
(3) {{{ f = 48 }}}
and, since
{{{ d = f/3 }}}
{{{ d = 16 }}}
The Daughter is 16
check:
(1) {{{ s = f/2 }}}
(1) {{{ s = 24 }}}
(3) {{{ f = s + d + 8 }}}
(3) {{{ f = 24 + 16 + 8 }}}
(3) {{{ f = 48 }}}
OK