Question 1021059
Let {{{ a }}} = Alison's age now
Let {{{ f }}} = her father's age now
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(1) {{{ a = f - 26 }}}
(2) {{{ f + 4 = 3*( a + 4 ) }}}
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(2) {{{ f + 4 = 3a + 12 }}}
(2) {{{ f - 3a = 8 }}}
and
(1) {{{ f - a = 26 }}}
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Subtract (2) from (1)
(1) {{{ f - a = 26 }}}
(2) {{{ -f + 3a = -8 }}}
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{{{ 2a = 18 }}}
{{{ a = 9 }}}
and
(1) {{{ f - a = 26 }}}
(1) {{{ f - 9 = 26 }}}
(1) {{{ f = 35 }}}
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Alison is 9
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check:
(1) {{{ a = f - 26 }}}
(1) {{{ 9 =35 - 26 }}}
(1) {{{ 9 = 9 }}}
OK