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Question 5
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Let the number be x.
Fifth part of the number = x/5
Fifth part of the number increased by 5 = x/5 + 5
Fourth part of the number = x/4
Fourth 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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