Question 1204614
Nick,  n
Sister, x
{{{n-x=14}}}


Six Years Ago:
n-6
and
x-6
-
{{{n-6=2x}}}


{{{system(n-x=14,n-6=2x)}}}


{{{system(n-x=14,n-2x=6)}}}
Subtract.
{{{highlight(x=8)}}}
-
{{{highlight(n=22)}}}



----------------------------------MISTAKES IN THIS WORK------------------------
Nick was x+8 when the time was 6 years ago, at which time sister was x-6.
Nick will always stay 14 years older than sister.


{{{x+8=2(x-6)}}}

{{{x+8=2x-12}}}

{{{8+12=x}}}

{{{x=20}}}

<s>Sister is 20 now and Nick is 34 now.</s>