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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