Answer:
The numbers are 
 and
   and  
Step-by-step explanation:
Let 
x -----> the smaller positive real number
y -----> the larger positive real number
we know that
A positive real number is 2 less than another
so

 ----> equation A
 ----> equation A
When 4 times the larger is added to the square of the smaller, the result is 49
so
 ----> equation B
 ----> equation B
substitute equation A in equation B

solve for x

The formula to solve a quadratic equation of the form 
 
 
is equal to
 
in this problem we have

so
 
substitute in the formula
 
 
 
 
so
The positive real number is
 
Find the value of y

 
 
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Let x = base measurement; then height = (x-4).
 
A = ½•base•height 48 = ½x(x-4
 
        
             
        
        
        
48 divided by 2 = 24
3333 divided by 6 = 555.5