Question

Two integers have a difference of 6 and a sum of -18. What
are the integers?​

Answer 1

Answer :

Let, the integers are x and y with x > y

Given,

x - y = 6 ..... (i)

& x + y = - 18 ..... (ii)

Adding (i) & (ii), we get

x - y + x + y = 6 - 18

or, 2x = - 12

or, x = - 6

From (ii), we get

- 6 - y = 6

or, y = - 6 - 6

or, y = - 12

Hence, the two numbers are

- 6 and - 12

Answer 2

Step-by-step explanation:

Hi,

Let the two integers be x and y .

According to the question,

x - y = 6 ---------(1)

x + y = -18 ---------(2)

From equation (1) , we get

x - y = 6

x = ( 6 + y ) --------(3)

Putting the value of x in equation (2), we get

x + y = -18

(6+y) + y = -18

6 + y + y = -18

2y + 6 = -18

2y = -18 - 6

2y = -24

y = -12.

Putting the value of y in equation (3), we get

x = 6 + y

x = 6 - 12 = -6

Hence,

Two integers are -12 and -6.

Hope it will help you :)