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

1.

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

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 :-

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

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

$60\;-\;50\;=\;10$

$10\;=\;10$

$L.H.S\;=\;R.H.S$

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