SOLUTION: Today, Jason is 5 years older than his brother Tim. Two years ago, Tim's age was 3/4 of Jason's age. What are their ages today?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Today, Jason is 5 years older than his brother Tim. Two years ago, Tim's age was 3/4 of Jason's age. What are their ages today?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 756709: Today, Jason is 5 years older than his brother Tim. Two years ago, Tim's age was 3/4 of Jason's age. What are their ages today?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +j+ = Jason's age now
Let +t+ = Tim's age now
given:
(1) +j+=+t+%2B+5+
(2) +t+-+2+=+%283%2F4%29%2A%28+j+-+2+%29+
-------------------------
(2) +4%2A%28+t+-+2+%29+=+3%2A%28+j+-+2+%29+
(2) +4t+-+8+=+3j+-+6+
(2) +4t+-+3j+=+2+
and
(1) +-t+%2B+j+=+5+
(1) +-3t+%2B+3j+=+15+
Add (1) and (2)
(2) +4t+-+3j+=+2+
(1) +-3t+%2B+3j+=+15+
+t+=+17+
+t+=+17+
and
(1) +j+=+t+%2B+5+
(1) +j+=+17+%2B+5+
(1) +j+=+22+
Jason is 22
Tim is 17
-----------
check:
(2) +t+-+2+=+%283%2F4%29%2A%28+j+-+2+%29+
(2) +17+-+2+=+%283%2F4%29%2A%28+22+-+2+%29+
(2) +15+=+%283%2F4%29%2A20+
(2) +60+=+3%2A20+
(2) +60+=+60+
OK