Question

Two fifth of a number exceeds its one third by 10 what is the number

Answer 1

Answer:

Required number is 150.

Step-by-step explanation:

Given :-

Two fifth of a number exceeds its one third by 10.

To find :-

The number.

Solution :-

Let the number be $x$

Then, its two fifth will be $\frac{2}{5}x$

And, its one third will be $\frac{1}{3}x$

According to the question :

• $\frac{2}{5}x\;-\;\frac{1}{3}x\;=\;10$

• $\frac{2x}{5}\;-\;\frac{1x}{3}\;=\;10$

L.C.M :

• $\frac{6x\;-\;5x}{15}\;=\;10$

• $\frac{x}{15}\;=\;10$

• $x\;=\;150$

∴ Required number is 150.

Verification :-

• $\frac{2}{5}x\;=\;\frac{2}{5}*150\;=\;60$

• $\frac{1}{3}x\;=\;\frac{1}{3}*150\;=\;50$

• $60\;-\;50\;=\;10$

• $10\;=\;10$

• $L.H.S\;=\;R.H.S$