Final answer:
To find the number, solve the equation 2/3x - 4 = -92. Isolate the variable by adding 4 to both sides of the equation. Multiply by the reciprocal of 2/3 to remove the fraction and find the value of 'x'.
Step-by-step explanation:
To find the number, let's first represent it with 'x'. We are given that the difference between two-thirds of the number and 4 is -92. Mathematically, this can be written as: 2/3x - 4 = -92. To solve for 'x', we will isolate the variable by adding 4 to both sides of the equation: 2/3x = -92 + 4. Simplifying, we get: 2/3x = -88.
To get rid of the fraction, we can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2. Multiplying, we get: x = -88 * (3/2). Simplifying further, we get: x = -88 * 3 / 2 = -132.
Therefore, the number is -132.