Question 44003
Let 
a = joes age
b = jims age

The sum of the ages of joe and jim is 62:
{{{a+b=62}}}         ..1
rearranging gives:
{{{b=62-a}}}         ..2

Five years from now, joe will be twice Jim's age:
{{{(a+5)=2(b+2)}}}     ..3

Substitute equation (..2) into equation (..3) for b:
{{{(a+5)=2(62-a+2)}}}   
{{{(a+5)=2(64-a)}}}     
{{{3a+5=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.