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?

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:

this gives

Putting L=E+4 in the second equation

So,

Now we have , L+E=20

So,

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

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