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. Which system of equations represents this situation?

Answer 1

The system of equations is f=4n and f=n+27

Explanation:

Answer 2

The system of equations is

`f=4n` and
`f=n+27`

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

`f=4n`-----> equation A

`f=n+27` ----> equation B

equate the equations and solve for n

`4n=n+27\\4n-n=27\\3n=27\\n=9`

Find the value of f

`f=4(9)=36`

therefore

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