Question

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

Answer 1

Answer:

the number is 16

Step-by-step explanation:

here is how i solved it-

it says that 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.

so i made an algebraic quation for this

8/x=(x-12)/8

now solve it

64=x^2 -12x

so , 0 = x^2 -12x-64

now we will factorise x^2 -12x-64

so, 0 = (x-16) x (x+4)

so we can transpose terms to get the valuse of x

0/(X+4) = x-16

so, 0 = x-16 so

16=x

Answer 2

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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