SOLUTION: Larry is 8 years older than moe. Curly is 3 times as old as moe. Five years ago ))the sum of larrys and moes age was 4 less than curlys age. What is there present ages?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Larry is 8 years older than moe. Curly is 3 times as old as moe. Five years ago ))the sum of larrys and moes age was 4 less than curlys age. What is there present ages?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1126826: Larry is 8 years older than moe. Curly is 3 times as old as moe. Five years ago ))the sum of larrys and moes age was 4 less than curlys age. What is there present ages?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Larry's age now
Let +b+ = Curly's age now
Let +c+ = Moe's age now
---------------------------------
(1) +a+=+c+%2B+8+
(2) +b+=+3c+
(3) +a+-+5+%2B+c+-+5+=+b+-+5+-+4+
------------------------------------
(3) +a+%2B+c+-+10+=+b+-+9+
(3) +a+-+b+%2B+c+=+1+
Plug (1) and (2) into (3)
(3) +c+%2B+8+-+3c+%2B+c+=+1+
(3) +-c+=+-7+
(3) +c+=+7+
and
(1) +a+=+7+%2B+8+
(1) +a+=+15+
and
(2) +b+=+3%2A7+
(2) +b+=+21+
-----------------------
Larry is 15
Curly is 21
Moe is 7
-----------------
check:
(3) +a+-+b+%2B+c+=+1+
(3) +15+-+21+%2B+7+=+1+
(3) +22+-+21+=+1+
(3) +1+=+1+
OK