Question

A number whose fifth part increased by 5 is equal to its fourth part decreased by 5. Find the number.

Answer 1

Answer:

200 is the correct answer.

Step by Step Explanation:-

Let us consider the number to be 'x'

So, x/5 + 5 = x/4-5

x/5 - x/4 = -5-5

By taking LCM of 4 and 5 which is 20.

(4x - 5x) /20 = -10

By cross-multiplying we get,

4x - 5x = -10/20

-x = -200

x = 200

Therefore, the number is 200.

hope it helps you.

Answer 2

Answer: 200

Step-by-step explanation:

(1/5 of x)+5 = (1/4 of x)-5

So, difference between 1/4 and 1/5 of x is 10.

1/4-1/5 = 1/20

1/20 of x = 10

x = 200