Question

25% of a number when added to 75 is
equal to the number. The number is :​

Answer 1

Step-by-step explanation:

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Answer 2

Given: 25% of a number when added to 75 is equal to the number.

To find: The number

Let: The number be $x$

Solution: According to the given question,

When 25% of a number is added to 75, it is equal to the number.

Now, the number is $x$ (assumed).

i.e.,

∴ $x = \frac{25}{100}x + 75$

⇒ $x - \frac{25}{100}x = 75$

⇒ $\frac{100x \ - \ 25x}{100} = 75$

⇒ $75x = 75*100 = 7500$

⇒ $x = \frac{7500}{75} = 100$

Hence, the number is 100.

25% of 100 i.e., 25 when added to 75 is equal to 100.