SOLUTION: ok this is a word problem i just for some reason cannot find out ..... The sum of the ages of joe and jim is 62. Five years from now, joe will be twice Jim's age. Find joe's pres

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: ok this is a word problem i just for some reason cannot find out ..... The sum of the ages of joe and jim is 62. Five years from now, joe will be twice Jim's age. Find joe's pres      Log On


   

Question 44003: ok this is a word problem i just for some reason cannot find out .....
The sum of the ages of joe and jim is 62. Five years from now, joe will be twice Jim's age. Find joe's present age? Sorry this question is not out of a text book.
Thank you very much for the help,
Jesse
Answer by adamchapman(301) About Me  (Show Source):
You can put this solution on YOUR website!
Let
a = joes age
b = jims age
The sum of the ages of joe and jim is 62:
a%2Bb=62 ..1
rearranging gives:
b=62-a ..2
Five years from now, joe will be twice Jim's age:
%28a%2B5%29=2%28b%2B2%29 ..3
Substitute equation (..2) into equation (..3) for b:
%28a%2B5%29=2%2862-a%2B2%29
%28a%2B5%29=2%2864-a%29
3a%2B5=128
3a=123
a=41 ..4
Substitute equation (..4) into equation (..2) for a:
b=62-41
b=21
I hope this helps.
P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would send me your feedback on my help to adam.chapman@student.manchester.ac.uk.