Question 1109141
Let {{{ x }}} = her age now
{{{ (1/2)*( x + 2 ) + (1/3)*( x - 3 ) = 20 }}}
Multiply both sides by {{{ 6 }}}
{{{ 3*( x + 2 ) + 2*( x - 3 ) = 120 }}}
{{{ 3x + 6 + 2x - 6 = 120 }}}
{{{ 5x = 120 }}}
{{{ x = 24 }}}
She is 24 now
---------------------
check:
{{{ (1/2)*( x + 2 ) + (1/3)*( x - 3 ) = 20 }}}
{{{ (1/2)*26 + (1/3)*21 = 20 }}}
{{{ 13 + 7 = 20 }}}
{{{ 20 = 20 }}}
OK