Question 773473
Let {{{ m }}} = mother's age now
Let {{{ d }}} = daughter's age now
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(1) {{{ m - 5 = 3*( d - 5 ) }}}
(2) {{{ m + 5 = 2*( d + 5 ) }}}
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(1) {{{ m - 5 = 3d - 15 }}}
(1) {{{ m - 3d = -10 }}}
and
(2) {{{ m + 5 = 2d + 10 }}}
(2) {{{ m - 2d = 5 }}}
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Subtract (1) from (2)
(2) {{{ m - 2d = 5 }}}
(1) {{{ -m + 3d = 10 }}}
{{{ d = 15 }}}
and
(2) {{{ m - 2d = 5 }}}
(2) {{{ m - 2*15 = 5 }}}
(2) {{{ m = 5 + 30 }}}
(2) {{{ m = 35 }}}
Mother is 35, daughter is 15
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Check:
5 yrs ago, mother was 30 and daughter
was 10. Mother was 3 times her age
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In 5 yrs, mother will be 40
Daughter will be 20 
Mother will be twice daughter's age
OK