Question

One - sixth of a number when subtracted from the number itself gives 25. The number is :

Answer 1

let the number be x
ATQ,
x- x/6 = 25
(6x-x)/6 = 25
5x = 25×6
x = 5×6 = 30
Verification:
30 - 30/6 = 30-5 = 25

Answer 2

Given:

We get 25 as the result when 1/6th of a number gets subtracted from the number itself.

To find:

To calculate the number.

Solution:

Let us assume the number as X.

On subtracting 1/6th of a number from the number itself, the result is 25.

The result is 25.

Therefore,

X - (1/6) X = 25

Since the denominators of the two numbers on the left-hand side are unequal, therefore, we cannot perform subtraction directly.

We will take the L.C.M of the value of the denominator to make the same.

L.C.M of 1 and 6 is 6.

(6X- X)/6 = 25

5X = 25 × 6

X = 30

The number is 30.