Question 669182
Let {{{ x }}} = Miss Reyes age now
{{{ x - 15 }}} = niece's age
{{{ x + 5 }}} = Miss Reyes age 5 years from now
{{{ x - 15 - 3 }}} niece's age 3 years ago
----------------------------------
given:
{{{ 2*( x + 5 ) = 4*( x - 15 - 3 ) - 8 }}}
{{{ 2x + 10 = 4*( x - 18 ) - 8 }}}
{{{ 2x + 10 = 4x - 72 - 8 }}}
{{{ 2x = 72 + 10 + 8 }}}
{{{ 2x = 90 }}}
{{{ x = 45 }}}
{{{ x - 15 = 30 }}}
Miss Ryes is 45
Her niece is 30
--------------
check:
5 yrs from now, Miss Reyes will be 50
{{{ 2*50 = 100 }}}
and
Nice's age 3 yrs ago was 27
{{{ 4*27 = 108 }}}
{{{ 108 - 8 = 100 }}}
OK