Taxes and the voting age in Australia

I can fully understand why someone with resident status only should pay taxes and not be able to vote.

BUT why is it that we tax our own citizens before they are old enough to vote?

Why should a young person, who is an Australian Citizen, be denied the right to influence how their taxation money is spent?

To some extent the raising of the tax free threshold to $16k by the current Federal Government has alieviated the situation, but it still does not ameliorate the situation entirely.

Why don't we just have a carte blanch policy that states if you don't pay PAYG or other income related taxation until you are able to vote? Seems fair and equitable to me.

It's simply wrong to take taxation money from an Australian Citizen and then deny them the right to vote on how that money is going to be used.