Question 1111421
Let {{{ a }}} = Beth's age now
Let {{{ b }}} = Celeste's age now
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(1) {{{ a = b - 5 }}}
(2) {{{ ( a + 1 ) + ( b + 1 ) = 57 }}}
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(2) {{{ a + b + 2 = 57 }}}
(2) {{{ a + b = 55 }}}
and
(1) {{{ -a + b = 5 }}}
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Add (1) and (2)
{{{ 2b = 60 }}}
{{{ b = 30 }}}
and
(1) {{{ a = b - 5 }}}
(1) {{{ a = 30 - 5 }}}
(1) {{{ a = 25 }}}
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Beth is 25
Celeste is 30
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check:
(2) {{{ a + b + 2 = 57 }}}
(2) {{{ 25 + 30 + 2 = 57 }}}
(2) {{{ 57 = 57 }}}
OK