Question

Two integers are separated by 24 units on a number line. The sum of the integers is -12 and the quotient is -3. What are the two integers?

Answer 1

6 and - 18

Explanation:

let the 2 integers be a and b , then

a + b = - 12 → (1)

`(a)/(b)` = - 3 → (2)

multiply both sides by b ( b ≠ 0 )

a = - 3b

substitute a = - 3b into (1)

- 3b + b = - 12

- 2b = - 12 ( divide both sides by - 2 )

b = 6

substitute b = 6 into (1) and solve for a

a + 6 = - 12 ( subtract 6 from both sides )

a = - 18

the two integers are - 18 and 6