Question

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.

Answer 1

Nathan is 9 Fred is 36

Answer 2

The system of equations is

and

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

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