In a code language, 'PEN' is coded as ‘70’ and 'NEST' is coded as ‘116’. How will 'PEON' be coded in the same language?

Let us look at the alphabetical positional values of the letters ($A=1,B=2,\dots ,Z=26$) for the given words:
* For 'PEN':

$$P=16,E=5,N=14$$

$$\text{Sum}=16+5+14=35$$

$$\text{Code}=35\times 2=70$$

* For 'NEST':

$$N=14,E=5,S=19,T=20$$

$$\text{Sum}=14+5+19+20=58$$

$$\text{Code}=58\times 2=116$$

The logic is: $\text{Code}=(\text{Sum of positional values})\times 2$.

Applying the same logic for 'PEON':

$$P=16,E=5,O=15,N=14$$

$$\text{Sum}=16+5+15+14=50$$

$$\text{Code}=50\times 2=100$$

Therefore, 'PEON' will be coded as 100.