Fred is 4 times as old as Nathan and is also 27 years older than Nathan. Let f be Fred's age and let n be Nathan's age.

The system of equations is

 and  

Fred's age is 36 years old and Nathan's age is 9 years old

Step-by-step explanation:

Let

f > Fred's age

n > Nathan's age

we know that

> equation A

> equation B

equate the equations and solve for n

Find the value of f

therefore

Fred's age is 36 years old and Nathan's age is 9 years old