Question 1124894
Cary is {{{4 }}}years older than Dan. 
Cary: 
NOW {{{x + 4}}}
Dan
NOW {{{x }}}

In {{{8}}} years, the sum of their ages will be {{{84}}}. Find the age of each man now.

Cary: 
NOW x + 4
In 8 years: {{{x + 4+8=x+12}}}

Dan: 

In 8 years: {{{x + 8}}}

then we have:

{{{x+12+x+8=84}}}

{{{2x+20=84}}}

{{{2x=84-20}}}

{{{x=64/2}}}

{{{highlight(x=32)}}}-> Dan is {{{highlight(32) }}} old NOW 

{{{x + 4=32+4=highlight(36)}}}-> Cary is {{{highlight(36) }}} old NOW 

check:

in {{{8}}} years

Dan will be {{{32+8=highlight(40) }}} old

Cary will be {{{36+8=highlight(44) }}} old

the sum of their ages is: {{{40+44=84 }}} as given