6.8 kw induction hob and 4.5kw double oven

Yes of course it can you can, you have up to 15kw on a cooker circuit if diversity is applied on a 6mm cable and 32 amp MCB. Table A4 in regs book or onsite guide. Despite what the other answers are so far I disagree with them! Best to get an electrician in to do it.

As deacon electrical said, you don't just add up the total connected load when calculating total demand. And you can treat a hob and oven as one appliances on one isolator. Factors that may affect your cables ability the carry the load are how it's run. for example if it's run through some insulation then it needs derating by as much as half and then won't be adequate.either way, get a professional in.

The load of the circuit in watts is (6800 + 4500) = 11300. The load current of the circuit is 49.13 amps (11300 watts ÷ 230 volts) Taking the diversity factor into consideration, the demand current is calculated by taking the first 10 amps of the load current and adding 30% of the remainder: 10 + (39.13 x 0.3) = (10 + 11.74) = 21.74 amps. Since 6.0mm will still easily carry a load of 21.74 amps, 6.0 mm will therefore suffice. However, I personally would consider not applying diversity here and installing two dedicated circuits for each appliance.

Hi In short NO it can't be. Each appliance will need its own supply, isolator and mcb. You can use the existing 6mm cable to feed the double oven but a new feed will be needed for the Induction hob. Hope this helps

Total amount would be around 50Amps so the existing 6mm won't be big enough to support that . It can only do one or the other I'm afraid.