The sum of two numbers is 38 and their difference is 10 find the numbers​

I believe the two numbers are 14 and 24

Those numbers are 14 and 24.

Step-by-step explanation:

You can solve this pretty quickly by taking those two facts and combining them:

a + b = 38

a - b = 10

Let's solve the second one for a:

a = 10 + b

Now we can substitute that into the first one:

a + b = 38

(10 + b) + b = 38

2b + 10 = 38

2b = 28

b = 14

To find a, we can plug that back into one of the original equations:

a + b = 38

a + 14 = 38

a = 24

We can also test our answer by plugging the results into the other given equation and see if we get the same value:

a - b = 10

24 - 14 = 10

10 = 10

So we know our answer is correct.

-8

Step-by-step explanation:

The answer is -8 because it is seven places to the left of -1 on the number line.