A positive number is multiplied by one-third of itself and the produc…

The correct answer is Option (3) → 24

Let the number be \(x\). Multiplying it by one-third of itself gives \(x\times\displaystyle\frac{x}{3}\), which is set equal to 192.

• \(\displaystyle\frac{x^2}{3}=192\)

• \(x^2=576\)

• \(x=24\) (the number is positive, so \(-24\) is not taken)

Check: \(24\times8=192\). The number is 24.