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Question:
Find a number whose 5th part increased by 30 is equal to its 4th part decreased by 30.
Answer:

Let the number is x

Given, x/5 + 30 = x/4 - 30

=> x/5 + 30 + 30 = x/4

=> x/5 + 60 = x/4

=> x/4 - x/5 = 60

=> (5x - 4x)/20 = 60               {LCM od 4 and 5 is 20}

=> x/20 = 60

=> x = 60 * 20

=> x = 1200

So, the number is 1200

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