Question 643220
Let {{{ a }}} = my age
Let {{{ b }}} = my Daughter's age
Let {{{ c }}} = my Son's age
given:
(1) {{{ b = 2c }}}
(2) {{{ b = (1/2)*a }}}
(3) {{{ c + 22 = (1/2)*( a + 22 ) }}}
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(1) {{{ c = b/2 }}}
(2) {{{ a = 2b }}}
Substitute (1) and (2) into (3)
(3) {{{ b/2 + 22 = (1/2)*( 2b + 22 ) }}}
multiply both sides by {{{2}}}
(3) {{{ b + 44 =  2b + 22  }}}
(3) {{{ b = 44 - 22 }}}
(3) {{{ b = 22 }}}
My daughter is 22
check:
(1) {{{ c = b/2 }}}
(1) {{{ c = 11 }}}
and
(2) {{{ a = 2*22 }}}
(2) {{{ a = 44 }}}
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(3) {{{ 11 + 22 = (1/2)*( 44 + 22 ) }}}
(3) {{{ 33 = (1/2)*66 }}}
(3) {{{ 66 = 66 }}}