Answer:
-18 and -9
Step-by-step explanation:
Let x = the smaller number
Let y = the bigger number
One number is nine less than another:
⇒ x = y - 9
Their sum is negative twenty-seven:
⇒ x + y = -27
Substitute the first equation into the second and solve for y:
⇒ x + y = -27
⇒ (y - 9) + y = -27
⇒ 2y - 9 = -27
⇒ 2y - 9 + 9 = -27 + 9
⇒ 2y = -18
⇒ 2y ÷ 2 = -18 ÷ 2
⇒ y = -9
Substitute the found value of y into the first equation and solve for x:
⇒ x = y - 9
⇒ x = -9 - 9
⇒ x = -18
Therefore, the two numbers are -18 and -9.
