Question 1046970
{{{ b }}} = Bob's age
{{{ c }}} = Chuck's age
{{{ s }}} = Suzie's age
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(1) {{{ b = 2c }}}
(2) {{{ s = b - 10 }}}
(3) {{{ b + c + s = 100 }}}
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(1) {{{ c = (1/2)*b }}}
Substitute (1) and (2) into (3)
(3) {{{ b + (1/2)*b + b - 10 = 100 }}}
(3) {{{ (5/2)*b = 110 }}}
(3) {{{ b = (2/5)*110 }}}
(3) {{{ b = 44 }}}
and
(1) {{{ c = (1/2)*b }}}
(1) {{{ c = (1/2)*44 }}}
(1) {{{ c = 22 }}}
and
(2) {{{ s = b - 10 }}}
(2) {{{ s = 44 - 10 }}}
(2) {{{ s = 34 }}}
Suzie is 34
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check:
(3) {{{ b + c + s = 100 }}}
(3) {{{ 44 + 22 + 34 = 100 }}}
(3) {{{ 100 = 100 }}}
and
(2) {{{ s = b - 10 }}}
(2) {{{ 34 = 44 - 10 }}}
(2) {{{ 34 = 34 }}}
OK