SOLUTION: Cary is 4 years older than Dan. 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: ? Dan: NOW: x In 8 years: x + 8

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Cary is 4 years older than Dan. 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: ? Dan: NOW: x In 8 years: x + 8      Log On

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Question 1124894: Cary is 4 years older than Dan. 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: ?
Dan:
NOW: x
In 8 years: x + 8

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Cary is 4+years older than Dan.
Cary:
NOW x+%2B+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+%2B+4%2B8=x%2B12
Dan:
In 8 years: x+%2B+8
then we have:
x%2B12%2Bx%2B8=84
2x%2B20=84
2x=84-20
x=64%2F2
highlight%28x=32%29-> Dan is highlight%2832%29+ old NOW
x+%2B+4=32%2B4=highlight%2836%29-> Cary is highlight%2836%29+ old NOW
check:
in 8 years
Dan will be 32%2B8=highlight%2840%29+ old
Cary will be 36%2B8=highlight%2844%29+ old
the sum of their ages is: 40%2B44=84+ as given