Answer:
43 and 5
Step-by-step explanation:
Let's let the two unknown numbers be a and b.
Their sum is 48, therefore:
[tex]a+b=48[/tex]
And their difference is 38. In other words:
[tex]a-b=38[/tex]
We now have a system of equations. To solve, we can use substitution. First, add b to both sides in the second equation:
[tex]a=38+b[/tex]
Substitute this into the first equation:
[tex](38+b)+b=48[/tex]
Combine like terms:
[tex]2b+38=48[/tex]
Subtract 38 from both sides:
[tex]2b=10[/tex]
Divide both sides by 2:
[tex]b=5[/tex]
So, one of the numbers is 5.
The sum of them is 48. Therefore, the other number is 48-5 or 43.
So, our two numbers are 43 and 5.
And we're done!
