Question

Question 93

Two-third of a number is greater than one-third of the number by 3. Find the number.

Answer 1

Let the number be x.
Then, two-third of this number = $\frac{2}{3}x$ and one-third of this number =$\frac{1}{3}x.$
According to the question,
$\frac{2}{3}x=\frac{1}{3}x+3\Rightarrow \frac{2}{3}x-\frac{1}{3}x=3\Rightarrow \frac{2x-x}{3}=3\left[takingLCMonLHS\right]\Rightarrow \frac{x}{3}=3\Rightarrow \frac{x}{3}\times 3=3\times 3\left[multiplyingbothsidesby3\right]\Rightarrow x=9$
Hence, the required number is 9.