Answer:
24 and 14
Step-by-step explanation:
Let's say that the unknown numbers are x and y. We can create a system of equations to show x and y adding up to 38 and subtracting to equal 10. Using this we can solve for both variables and get the numbers.
Solving:
[tex]\section*{}We have the unknowns \( x \) and \( y \).\\\\System of equations:\[\begin{cases}x + y = 38 \\x - y = 10\end{cases}\]\\To solve these equations we first add the two equations:\[(x + y) + (x - y) = 38 + 10\]\[2x = 48\]Solving for \( x \):\[\boxed{x = \frac{48}{2} = 24}\]Next, we substitute \( x = 24 \) back into the first equation:\[24 + y = 38\]Solving for \( y \):\[\boxed{y = 38 - 24 = 14}\][/tex]
Therefore, the two numbers are 24 and 14.