Answer:

5 and 20

Step-by-step explanation:

Let,

x + y = 25

xy = 100

Solve for y in the first equation,

y = 25 - x

Substitute into 2nd equation,

x(25 - x) = 100

25x - x² = 100

Rearrange,

x² - 25x + 100 = 0

Factor,

(x - 5) (x - 20) = 0

Equate factors to zero,

x1 = 5 = x

x2 = 20 = y

Substitute,

5 + 20 = 25

25 = 25

5 • 20 = 100

100 = 100

Answer:

20 and 5

Step-by-step explanation:

the sum of the two numbers 20 and 5 is 25

and when multiplied 20×5 is equal to 100