The sum of two numbers is 17 and their product is 70 what are the two numbers?

Two numbers are 10 and 7.

Step-by-step explanation:

Let the numbers are x and y.

From the statement given in the question,

" The sum of two numbers is 17"

x + y = 17 (1)

y = 17 - x

Second statement is " Their product is 70 "

xy = 70(2)

Now we replace the value of y from the equation (1) to equation (2).

(17 - x)x = 70

17x - x² = 70

x² - 17x + 70 = 0

x² - 10x - 7x + 70 = 0

x(x - 10) - 7(x - 10) = 0

(x - 10)(x - 7) = 0

x - 10 = 0

x = 10

and (x - 7) = 0

x = 7

Now we put the values of x in equation 1.

For x = 10,

y = 17 - 10

y = 7

For x = 7

y = 17 - 7

y = 10

Therefore, two numbers are 10 and 7.