Question 549025
Lets call our two numbers x (the smaller number) and y (the larger number) (in general, whenever you are given a word problem, let some variable represent what you are looking for).

From the question we can get the following equations:
{{{y-x=5}}}       (1)
and
{{{4x+y=35}}}     (2)

Rearranging (1) we get:
{{{y=5+x}}}        (3)


Now substitute (3) into (2) to get:
{{{4x+5+x=35}}}
{{{5x+5=35}}} 
{{{5x+5-5=35-5}}} 
{{{5x=30}}} 
{{{5x/5=30/5}}}
{{{x=6}}}

Now substitute this value for x back into (3) to find our y
{{{y=6+6}}} 
{{{y=12}}} 


So our bigger number is 12 and our smaller number is 6.