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26 March, 07:38

If three times a number increased by 4, the result is - 8

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  1. 26 March, 08:50
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    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.
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