The sum of 2 numbers is 14Both numbers are less than ten and their difference is 2What is the smaller of the two numbers?

The numbers are 8 and 6. the smaller number would be 6

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Let the numbers be A and B

Given

The sum of both numbers = 14

So

A + B = 14

Also, the difference between the numbers = 2

That's

A - B = 2

So, we now have two equations

1. A + B = 14

2. A - B = 2

Add both equations to eliminate B. B + (-B) = B - B = 0

So we have

2A = 16

Divide both sides by 2 to get A

2A/2 = 16/2

A = 8

Now substitute 8 for A in either equation to get B

Using equation 1, we have

A + B = 14

8 + B = 14

Subtract 8 from both sides to isolate B

8 - 8 + B = 14 - 8

B = 6

The two numbers are 8 and 6. the smaller number is 6