Given that,

- $27^{2} = 729$
- $28^{2} = 784$
- $29^{2} = 841$

The value written inside the circle $ = 27+28+29=84$

Similarly,

- $13^{2} = 169$
- $14^{2} = 196$
- $15^{2} = 225$

$\therefore$ The value written inside the circle $ = 13+14+15=42.$

So, the correct answer is $(B).$