Question

Elijah has three neighbors.
The sum of all the neighbors’ ages is 80 years.
The second-oldest neighbor is 28 years old.
The difference between the ages of the oldest neighbor and the youngest neighbor is 30.
What is the age of the youngest neighbor?

Answer 1

The age of the youngest of Elijah's neighbours given the information in the question is 11 years.

What is the system of equations that can be used to determine the ages?

28 + x + y = 80

x + y = 80 - 28

x + y = 52 equation 1

x - y = 30 equation 2

Where:

x = age of the oldest neighbour

y = age of the youngest neighbour

What is the age of the youngest neighbour ?

Subtract equation 2 from 1

2y = 22

Divide both sides by 2

y = 11 years

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552