Induction hob plus oven wiring - rating?

[les24preludes]

Hi guys, I need to have an induction hob and oven connected up. Units are:
Hob: AEG HK654400XB Induction hob - HK654400XB | AEG - https://www.aeg.co.uk/kitchen/cooking/hobs/induction-hob/hk654400xb2/
Oven: Miele H2561BP Miele Ovens | H 2561 BP Oven - https://www.miele.co.uk/domestic/ovens-1451.htm?mat=10116060&name=H_2561_BP

There is an existing cooker circuit with isolator. Each wire, pos and neg, inside the isolator has an outer diameter including PVC cover of 5mm. So I need to know:
1. What the existing wiring is in cable size/capacity
2. If this is enough allowing for diversity
3. Or do I need a new feed from the fuse box for the induction hob, which seems the more greedy of the two.
Can someone fill me in on where to go here? I do know some basic DIY electronics so would understand ratings.

 

[DPG]

at the same time as cooking up a few kilos of boiled vegetables for a vegan lunch.... That's probably seriously overthinking it.....

Vegan lunch - I'd stick the cooker on a 6A MCB then to make sure it tripped out!

 

[les24preludes]

Vegan lunch - I'd stick the cooker on a 6A MCB then to make sure it tripped out!

Good thing I'm not a vegan..... I'd also imagine that the percentage of vegan electricians may be on the small side.