Solve : ( 36.54 )^2 - ( 3.46 )^2? = 40

Answer: Option C

Let, the missing number be x,
Then,
$$\frac{{\left(36.54\right)}^2-{\left(3.46\right)}^2}{x}=40$$
x = $$\frac{{\left(36.54\right)}^2-{\left(3.46\right)}^2}{40}$$
x = $$\frac{{\left(36.54\right)}^2-{\left(3.46\right)}^2}{36.54+3.46}$$
Let 36.54 = $$a$$ and 3.46 = $$b$$
x = $$\frac{a^2-b^2}{a+b}$$
x = (a - b)
x = (36.54 - 3.46)
x = 33.08