Question

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 1

The unknown number . . . . . (z)

The sum of the unknown number and 22 . . . . . (z + 22)

The sum of the unknown number and 22
divided by the same unknown number . . . . . . . (z + 22) / z

You said that quotient is 12. (z + 22) / z = 12

Multiply each side by 'z' : (z + 22) = 12 z

Subtract 'z' from each side: 22 = 11 z

Divide each side by 11 : 2 = z .