when 8 is divided by a certain number, the result is the same as when 12 is subtracted from the number and the difference is divided by 8.find the number
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4
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Given : when 8 is divided by a certain number, the result is the same as when 12 is subtracted from the number and the difference is divided by 8
To Find : the number
Solution:
Let say number is N
8 is divided by a certain number = 8/N
12 is subtracted from the number and the difference is divided by 8
=> (N - 12)/8
Equate both
=> (N - 12)/8 = 8/N
=> N² - 12N = 64
=> N² - 16N + 4N - 64 = 0
=> N(N - 16) + 4(N - 16) = 0
=> (N - 16)(N + 4) = 0
=> N = 16 , -4
Hence Number is 16 or -4
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