Step 1: Recall definition.
Isotones are atoms of different elements that have the same number of neutrons but different numbers of protons.
Step 2: Calculate neutrons.
- $^{14}_{6}C$: Neutrons $= 14 - 6 = 8$.
- $^{16}_{8}O$: Neutrons $= 16 - 8 = 8$.
So, they are isotones.
For others:
- $^{14}_{6}C$: neutrons $= 8$, $^{14}_{7}N$: neutrons $= 7$ (not isotones).
- $^{14}_{6}C$: neutrons $= 8$, $^{17}_{8}O$: neutrons $= 9$ (not isotones).
- $^{14}_{6}C$: neutrons $= 8$, $^{13}_{7}N$: neutrons $= 6$ (not isotones).
Step 3: Conclusion.
Correct isotone pair is $^{14}_{6}C$ and $^{16}_{8}O$.