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Answer:

10 and 90 are the numbers

10+90=100

90-10=80

The larger number is 90 and the smaller number is 10.

What are the equations that reperesent the question?

a + b = 100 equation 1

a - b = 80 equation 2

Where:

  • a = larger number
  • b = smaller number

What is the larger number ?

In order to determine the value of a,  add equation 2 and equation 1

2a = 180

Divide both sides by 2

a = 90

What is the smaller number?

Subtract 90 from 100,

b = 100 - 90

b = 10

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

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