The difference of two numbers is 3. Their sum is 13. What are the two numbers? Explain how you got the answer?

The two numbers are 8 and 5.

Step-by-step explanation:

Consider the two numbers as x and y. From the given data, we write:

x−y=3

x+y=13

From the first equation, we determine a value for x.

x−y=3

Add y to both sides.

x=y+3

In the second equation, substitute x with (y+3).

x+y=13

(y+3)+y=13

Open the brackets and simplify.

y+3+y=13

2y+3=13

Subtract 3 from each side.

2y=10

Divide both sides by 2.

y=5

In the first equation, substitute y with 5.

x−y=3

x−5=3

Add 5 to each side.

x=8

x= -3

step-by-step explanation:

step 1: simplify brackets

4 - x - 1 = 6

step 2: simpilfy

3 - x = 6

step 3: subtract 3 from both sides

-x = 6 - 3

step 4: simpilfy 6 - 3

-x = 3

step 5: multiply both sides by -1

x = -3

42

step-by-step explanation:

256/6=42