Answer:
The original number is -4.
Explanation:
Let the original number be n.
Next, three times the number is equal to 3n.
Then, increased by 4 means 4 is added.
Hence, three times a number increased by 4 equals -8 is written in the equation form as shown below.
=> 3n + 4 = -8
=> 3n = -8 + (-4)
Since the number, 4, goes on the other side of the equal sign, the number positive 4 changes its sign and becomes negative 4, as shown above.
=> 3n = -8 -4
=> 3n = -12
=> n = -12/3
=> n = -4
Checking the above solution.
Three times the number is equal to 3 * (-4) = -12.
The above product when increased by 4 gives the equation as shown.
-12 + 4 = -8.
The result is -8.
This result is same as the result mentioned in the given question, -8.
Hence, the answer that -4 is the original number is correct.
