Question

4/5 of a number exceeds its 2/3 by 8.the number is

Answer 1

If x= number
4/5x - 2/3x = 8
Therefore,
12/15x - 10/15x = 44 ( on taking LCM)
Therefore, 2/15x = 8
So, x= 15*8/2
x = 120/2
x = 60

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Answer 2

Given:

4/5 of a number exceeds its 2/3 by 8.

To find:

The number.

Solution:

Let the number be x.

So,

4/5 of the number is

$= \frac{4}{5} x$

Similarly,

2/3 of the number is

$= \frac{2}{3} x$

So,

according to the question, we have,

4/5 of a number exceeds its 2/3 by 8

Hence,

$\frac{4}{5} x \: - \: \frac{2}{3} x = 8$

On taking 15 as LCM, we have,

$\frac{12x - 10x}{15} = 8$

On solving the above, we get

$\frac{2x}{15} = 8$

$x = \frac{120}{2}$

$x = 60$

Hence, the required number is 60.