Question

The sum of two number is 25 and product is 100 find the number

Answer 1

Step-by-step explanation:

the numbers are 20 and 5

Answer 2

Answer:

20 and 5

Step-by-step explanation:

Let one number be x.

So, other number will be 25 - x as sum of numbers is 25.

Now, product of the numbers is 100.

x( 25 - x ) = 100

25x - x² = 100

0 = x² - 25x + 100

0 = x² - 20x - 5x + 100

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

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

From above equation,

x = 20 and 5.

Thank you.

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