Question 707525
EDIT: Parts of this answer seemed to be missing.

You describe this:  numbers a,b.  
a<b.  
4b=7a 
and 
a+b=22.


Just work with the equations and you'll find the numbers.
b=22-a
4(b)=7a
4(22-a)=7a
88-4a=7a
88=11a
8=a


From that, find b.
b=22-a=22-8=14