Question

The difference between a number and its two third is 30 more than one-fifth of the number. Find the number .

Answer 1

Answer:  The required number is 225.

Step-by-step explanation:  Given that the  difference between a number and its two third is 30 more than one-fifth of the number.

We are to find the number.

Let x be the required number.

Then, according to the given information, we have

$x-\dfrac{2}{3}\times x=\dfrac{1}{5}\times x+30\\\\\\\Rightarrow \dfrac{3x-2x}{3}=\dfrac{x}{5}+30\\\\\\\Rightarrow \dfrac{x}{3}-\dfrac{x}{5}=30\\\\\\\Rightarrow \dfrac{5x-3x}{15}=30\\\\\Rightarrow 2x=450\\\\\Rightarrow x=\dfrac{450}{2}\\\\\Rightarrow x=225.$

Thus, the required number is 225.