jasminewavy8789 jasminewavy8789

23-08-2017
Mathematics

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Two positive numbers have a difference of 5. the larger number is one more than twice the smaller. find the two numbers.

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ewomazinoade ewomazinoade

11-02-2022

The larger number is 9 and the smaller number is 4.

The two linear equations that can be used to represent the information in the question

a - b = 5 equation 1

a = 1 + 2b equation 2

Where:

a = larger number

b = smaller number

What is the value of b?

Substitute for a in equation 1

1 + 2b - b = 5

Combine similar terms

2b - b = 5 - 1

b = 4

What is the value of a?

Substitute for a in equation 1

a - 4 = 5

a = 5 + 4

a = 9

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

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