Question 1059955
Let {{{ a }}} = Sally's age now
Let {{{ b }}} = John's age now
Let {{{ c }}} = Karen's age now
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(1) {{{ a = b + 8 }}}
(2) {{{ b = c + 14 }}}
(3) {{{ a + b + c = 90 }}}
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(2) {{{ c = b - 14 }}}
Plug (1) and (2) into (3)
(3) {{{ b + 8 + b + b - 14 = 90 }}}
(3) {{{ 3b - 6 = 90 }}}
(3) {{{ 3b = 96 }}}
(3) {{{ b = 32 }}}
and
(1) {{{ a = b + 8 }}}
(1) {{{ a = 32 + 8 }}}
(1) {{{ a = 40 }}}
and
(2) {{{ c = b - 14 }}}
(2) {{{ c = 32 - 14 }}}
(2) {{{ c = 18 }}}
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Sally is 40
John is 32
Karen is 18
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check:
(3) {{{ a + b + c = 90 }}}
(3) {{{ 40 + 32 + 18 = 90 }}}
(3) {{{ 90 = 90 }}}
OK