Jennifer is twice as old as laurel, who is 4 years younger than nana. If nana is two years younger than Jennifer what is nana’s age in years?

Respuesta :

Nana's age: 10 years

Step-by-step explanation:

Here we call:

J = Jennifer's age

L = Laurel's age

N = Nana's age

We have the following information:

- Jennifer is twice as old as laurel, so

J = 2L (1)

- Laurel is 4 years younger than Nana, so

L = N - 4 (2)

- Nana is 2 years younger than Jennifer, so

N = J -2 (3)

Substituting (2) into (1),

J = 2(N-4) = 2N - 8

And substituting this into (3) and solving for J, we find Nana's age:

N = (2N-8) - 2

N = 2N - 10

N = 10

Which means that Jennifer's age is:

J =  N + 2 = 12

And Laurel's age is

L = J/2 = 6

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