If the youngest sister is x years old, describe the ages of the other two sisters in terms of x, and use that expression that can be used to find their ages

Therefore, the youngest sister is 14 years old. The elder sisters are 15 and 16 years respectively.

Step-by-step explanation:

An image containing the missing information is attached.

The missing information says that: "the ages of three sisters are consecutive integers. The sum of their ages is 45."

x is the youngest, then the two elder sisters would be (x + 1) and (x + 2). Consecutive integers increased with a difference of 1, which is why the age were incremented by 1.

The sum of their ages is 45. So,

x + (x + 1) + (x + 2) = 45

x + x + 1 + x + 2 = 45

x + x + x + 1 + 2 = 45

3x + 3 = 45

3x = 45 - 3

3x = 42

x = 42/3

x = 14

Therefore, the youngest sister is 14 years old. The elder sisters would be:

x + 1 = 14 + 1 = 15

x + 2 = 14 + 2 = 16

And summing the ages give us 45.

14+15+16=45

And they are consecutive integer.

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