Question

A number exceeds one-eight of itself by 56 .Find one-fourth of the number

Answer 1

Answer:

16

Explanation:

Let the number be x

x - (x/8) = 56

7x = 56*8

x = 64

1/4(64) = 16

Answer 2

Answer:

The one fourth of the required  umber is 16 .

Explanation:

Let the number be X.

According to the question ,

X exceeds one eight of itself by 56.

Hence,

$\frac{1}{8} X + 56 = X$

$X-\frac{1}{8}X = 56$

$\frac{8X-X}{8} = 56\\ \frac{7X}{8} = 56\\ 7X = 448\\X= \frac{448}{7}$

We require the one- fourth of X.

Hence,

$\frac{448}{7*4}$

$\frac{448}{28}\\ 16$

Hence the required answer is 16.

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