SOLUTION: aaron is 3yrs older than his brother baron. in five years,aaron will be eleven years morethan one half of barons age will then be. how old are the brothers now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: aaron is 3yrs older than his brother baron. in five years,aaron will be eleven years morethan one half of barons age will then be. how old are the brothers now?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 570162: aaron is 3yrs older than his brother baron. in five years,aaron will be eleven years morethan one half of barons age will then be. how old are the brothers now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Aaron's age now
Let +b+ = Baron's age now
+a+%2B+5+ = Aaron's age in 5 yrs
+b+%2B+5+ = Baron's age in 5 yrs
---------------
given:
(1) +a+=+b+%2B+3+
(2) +a+%2B+5+=+%28+b+%2B+5%29+%2F+2+%2B+11+
-------------------------
(2) +2a+%2B+10+=+b+%2B+5+%2B+22+
(2) +2a+-+b+=+5+%2B+22+-+10+
(2) +2a+-+b+=+17+
and
(1) +a+=+b+%2B+3+
(1) +a+-+b+=+3+
Subtract (1) from (2)
(2) +2a+-+b+=+17+
(1) +-a+%2B+b+=+-3+
+a+=+14+
and, since
(1) +a+=+b+%2B+3+
(1) +14+=+b+%2B+3+
(1) +b+=+14+-+3+
(1) +b+=+11+
Aaron is 14 and Baron is 11
check:
(2) +a+%2B+5+=+%28+b+%2B+5%29+%2F+2+%2B+11+
(2) +14+%2B+5+=+%28+11+%2B+5%29+%2F+2+%2B+11+
(2) +19+=+16%2F2+%2B+11+
(2) +19+=+8+%2B+11+
(2) +19+=+19+
OK