The larger number is 90 and the smaller number is 10.
a + b = 100 equation 1
a - b = 80 equation 2
Where:
In order to determine the value of a, add equation 2 and equation 1
2a = 180
Divide both sides by 2
a = 90
Subtract 90 from 100,
b = 100 - 90
b = 10
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552