Question 936859
Let {{{ x }}} = Daryl's age now
Start at the end of the problem
"before he is twice as old as he is now"
That is: {{{ 2x }}}
"eight years before he is twice as old as he is now"
That is: {{{ 2x - 8 }}}
"Today, Daryl is two thirds as old as he will be.  . '
This says:
{{{ x = (2/3)*( 2x - 8 ) }}}
{{{ 3x = 2*( 2x - 8 ) }}}
{{{ 3x = 4x - 16 }}}
{{{ x = 16 }}}
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Daryl is 16
check:
{{{ x = (2/3)*( 2x - 8 ) }}}
{{{ 16 = (2/3)*( 2*16 - 8 ) }}} 
{{{ 48 = 2*( 32 - 8 ) }}}
{{{ 24 = 32 - 8 }}}
{{{ 24 = 24 }}}
OK