Question

two thirds of a number is greater than one third of a number by 5 find the number

Answer 1

The number is 25.

Step-by-step explanation:

Let the number be $u$

Then two-thirds of the number can be written as $\frac{2}{3}\times u$ and similarly, the one-third would be$\frac{1}{3}\times u$

According to the question, $\frac{2}{3}\times u$ is greater than $\frac{1}{3}\times u$ by 5.

Writing the corresponding equation, we get,

$\frac{2}{3}u-\frac{1}{3}u = 5$

Solving for u

$\frac{2-1}{3}u = 5$

$\frac{1}{5}u=5$

$u=5$

Hence, the number is 25.