When the sum of an unknown number z and twenty-two is divided by the same unknown number, the quotient is twelve. What is the unknown number?



Answer :

(z+22)/z=12
z+22=12z
22=12z-z
22=11z
z=22/11=2

Applying the definition of quotient and creating an equation, the value of the unknown number is: z = 2.

What is Quotient?

Quotient is the result you get when two numbers are divided with each other.

Thus:

Unknown number = z

Sum of z and 22 is: z + 22

(z + 22)/z = 12 (quotient)

Solve to find the value of z

z + 22 = 12z

22 = 12z - z

22 = 11z

22/11 = z

z = 2

Therefore, applying the definition of quotient and creating an equation, the value of the unknown number is: z = 2.

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