SOLUTION: Dandy was born 6 years before Noel. In 2000, dandy's age was two years more than 4 times the age of noel. how old will Noel be in 2020?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Dandy was born 6 years before Noel. In 2000, dandy's age was two years more than 4 times the age of noel. how old will Noel be in 2020?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 887356: Dandy was born 6 years before Noel. In 2000, dandy's age was two years more than 4 times the age of noel. how old will Noel be in 2020?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The difference in their ages will always be +6+ years
Let +d+ = Dandy's age in 2000
Let +n+ = Noel's age in 2000
-------------------------------
(1) +d+-+n+=+6+
(2) +d+=+4n+%2B+2+
---------------------
(1) +d+=+n+%2B+6+
Substitute (1) into (2)
(2) +n+%2B+6+=+4n+%2B+2+
(2) +3n+=+6+-+2+
(2) +3n+=+4+
(2) +n+=+4%2F3+
and
(1) +d+=+4%2F3+%2B+6+
(1) +d+=+22%2F3+
------------------
Noel will be +4%2F3+%2B+20+=+64%2F3+
+64%2F3+=+21+%2B+1%2F3+
Noel will be 21 and 4 months
----------------------------
check:
(2) +d+=+4n+%2B+2+
(2) +22%2F3+=+4%2A%28+4%2F3+%29+%2B+2+
(2) +22%2F3+=+16%2F3+%2B+6%2F3+
(2) +22%2F3+=+22%2F3+
OK