The mystery number is 5
Let us denote the mystery number by x. Then, according to the problem statement, the mystery number is first multiplied by 4, hence
⇒ 4 × x = 4x
Again 8 is subtracted from the resultant number, that is
⇒ 4x - 8
And the result is greater than or equal to 12, thus
⇒ 4x - 8 ≥ 12
Now, solving this equation
⇒ 4x - 8 ≥ 12
⇒ 4x ≥ 12 + 8
⇒ 4x ≥ 20
⇒ x ≥ 20/4
⇒ x ≥ 5
The smallest value of mystery number can be 5.
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