1.

A number whose fifth part increased by 5 is equal to its fourth part diminished by 5 find the number

Answer»

Answer✔✔✔

Let the number be x.

5th part of the number = x/5

Fifth part of the number INCREASED by 5

So The number is

= x/5 + 5

4th part of the number = x/4

4th part of the number DIMINISHED by 5 = x/4 - 5
⇒ x/5 + 5 = x/4 - 5

⇒ x/5 - x/4  = - 5 - 5

⇒ x/5 - x/4  = - 5 - 5

⇒ -x/20 = -10

⇒ x = 200

Therefore, the required number is 200.

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