Respuesta :

Let the two numbers be x and y.
The sum is 45, therefore
x + y = 45                    (1)

The difference is 5, therefore
x - y = 5                      (2)

Add equations (1) and (2).
x + y + (x - y) = 45 + 5
2x = 50
x = 25

From (1), obtain
25 + y = 45
y = 45 - 25 = 20


Answer:  20 and 25

The two numbers are 25 and 20

Let the numbers the x and y

From the question, we have that

The sum of two numbers is 45

That is,

x + y = 45 --------- (1)

Also, we have that

There difference is 5

That is,

x - y = 5 --------- (2)

Now, add equations (1) and (2) to get

x + x + y - y = 45 + 5

2x = 50

∴ x = 50 ÷ 2

x = 25

Now, put the value of x into equation (2) to determine the value of y

That is,

x - y = 5 becomes

25 - y = 5

Then,

25 - 5 = y

20 = y

∴ y = 20

Hence, the two numbers are 25 and 20

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