Answer:
Those numbers are 14 and 24.
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.