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denis-greek [22]
3 years ago
12

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

Mathematics
2 answers:
Setler79 [48]3 years ago
4 0

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!

sveticcg [70]3 years ago
3 0

Answer:

5 and 43

I hope this helps!

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