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Lian and her younger sister Ella are 4 years apart. The sum of their ages is 20. Let l be Lian’s age in years and let e be Ella’s age in years. The system of linear equations that models the scenario is: l – 4 = e l + e = 20 How old is each sister?

Verified Answer :

musenmuñuy

L - 4 = E
L = E + 4
remplace
E + 4 + E = 20
2e =16
e = 16/2
Ella is 8 years old. and given that is 4 years younger. then Lian is 12

Answer:

Lian is 12 years old and Ella is 8 years old.

Step-by-step explanation:

Lian and her younger sister Ella are 4 years apart.

The sum of their ages is 20.

Let L be Lian’s age in years.

Let E be Ella’s age in years.

The system of linear equations that models the scenario is:

\(L-4=E\) this gives \(L=E+4\)

\(L+E=20\)

Putting L=E+4 in the second equation

\(E+4+E=20\)

\(2E=20-4\)

\(2E=16\)

So, \(E=8\)

Now we have , L+E=20

\(L+8=20\)

So, \(L=12\)

Therefore, Lian is 12 years old and Ella is 8 years old.

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