Question

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

Answer 1

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

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.