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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?

Respuesta :

calculista

Answer:

The system of equations is

[tex]f=4n[/tex]  and  [tex]f=n+27[/tex]

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

[tex]f=4n[/tex]-----> equation A

[tex]f=n+27[/tex] ----> equation B

equate the equations and solve for n

[tex]4n=n+27\\4n-n=27\\3n=27\\n=9[/tex]

Find the value of f

[tex]f=4(9)=36[/tex]

therefore

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

mohamadmallah

Answer:

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

Step-by-step explanation:

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