Question

sum of two numbers is 20 and their product is 64 find the numbers

Answer 1

Hope it will help you, why you are asking this question again and again, if you don't understand so you can ask.

Answer 2

Let the two numbers be x and y.

Given,

sum of two numbers is 20.

x + y = 20.

y = (20 - x) ----- (1)


Given,

product of two numbers = 64.

xy = 64 ------- (2)

Substitute (1) in (2),

x (20 - x) = 64

20x - x^2 = 64

-x^2 + 20x - 64 = 0

-1(x^2 - 20x + 64) = 0

x^2 - 20x + 64 = 0

x^2 - 16x - 4x + 64 = 0

x(x - 16) - 4(x - 16) = 0

(x - 16)(x - 4) = 0

x = 16 and x = 4.


Therefore,

the 2 numbers are 16 and 4.


From eq 1

x + y = 20

16 + 4 = 20.

20 = 20.


From (2)

xy = 64

16 × 4 = 64

HOPE THIS HELPS U. .