Question

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

Answer 1

Answer:

43 and 5

Step-by-step 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!

Answer 2

Answer:

5 and 43

I hope this helps!