Question

The sum of two numbers is 48. Their difference is 38. Find the numbers.

Answer 1

5 and 43

I hope this helps!

Answer 2

43 and 5

Explanation:

Let's let the two unknown numbers be a and b.

Their sum is 48, therefore:

`a+b=48`

And their difference is 38. In other words:

`a-b=38`

We now have a system of equations. To solve, we can use substitution. First, add b to both sides in the second equation:

`a=38+b`

Substitute this into the first equation:

`(38+b)+b=48`

Combine like terms:

`2b+38=48`

Subtract 38 from both sides:

`2b=10`

Divide both sides by 2:

`b=5`

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!