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8) The sum of two numbers is 3. Their diffrence is 13. What are the two numbers?

A (8,5)
B (8,-5)
C (1,2)
D (20,7)

User Latoia
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2 Answers

2 votes
The answer is B: (8,-5)
User Cuong Vu
by
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1 vote

Answer:

B. (8,-5)

Explanation:

Let the numbers be A and B

The sum of the two numbers = 3

That’s

A + B = 3

Their difference is 13

That’s

A - B = 13

We now have two equations

1. A + B = 3

2. A - B = 13

Subtract equation one from equation two

2B = -10

Divide both sides by 2

2B/2 = -10/2

B = -5

Substitute -5 for B into any of the equations to get A

Using equation 1

We have

A + B = 3

A + -5 = 3

A - 5 = 3

Add 5 to both sides

A - 5 + 5 = 3 + 5

A = 8

The numbers are 8 and -5

User Rintze Zelle
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3.6k points