2. The diflerence between a number and one trith of it is 84 . What is the number? \( \begin{array}{ll}\text { (a) } 95 & \text { (b) } 100 \\ \text { (c) } 105 & \text { (d) } 108 \\ \text { (e) } 112 & \end{array} \)

Let the number be \( x \). According to the problem, the difference between the number and one third of it is 84. This can be written mathematically as: \[ x - \frac{x}{3} = 84 \] Now, combine like terms: \[ \frac{3x - x}{3} = 84 \] This simplifies to: \[ \frac{2x}{3} = 84 \] To find \( x \), multiply both sides by 3: \[ 2x = 252 \] Now, divide both sides by 2: \[ x = 126 \] So, the number is not in the options provided (a-e). Let's verify again: If we start with \( x - \frac{x}{3} = 84 \) and simplify correctly, it still leads us to realize 126 doesn't match any options given. So be careful—always double-check calculations and assumptions! Looks like we've got a number that's not in the choices. But if you'd slyly want to check your calculations, remember, simplification can be your best friend while solving!