Question

When a fraction of 12 is taken away from 17, what remain exceed one-third of seventeen by six.

Answer 1

x - the fraction


`17- 12x=(1)/(3) * 17+6 \\ 17-12x=(17)/(3)+6 \\ -12x=(17)/(3)+6-17 \\ -12x=(17)/(3)-11 \\ -12x=(17)/(3)-(33)/(3) \\ -12x=-(16)/(3) \\ x=-(16)/(3) * (-(1)/(12)) \\ x=(16)/(36) \\ x=(4)/(9)`

The fraction is 4/9.