The ages of two sisters are consecutive even integers. Twice the age of the youngest exceeds the oldest by 8. How old is the youngest sister?

10 years old

Step-by-step explanation:

Let's say the age of the younger sister is x. Then the age of the older sister must be x + 2 because the ages are consecutive even numbers.

"Twice the age of the youngest exceeds the oldest by 8" means that we multiply x by 2 and set that equal to (x + 2) + 8:

2x = (x + 2) + 8

2x = x + 10

x = 10

So, the youngest sister is 10 years old.

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