Given: The difference of the square of two consecutive even numbers = 164 Concept used: (a+b)2=a2+2ab+b2 Calculations: Let the first even number be x So, second even number =x+2 According to the question (x+2)2–x2=164 ⇒x2+2×2×x+22–x2=164 ⇒4x+4=164 ⇒4x=160 ⇒x=40 Second number =x+2=42 Sum of consecutive even numbers =40+42=82 ∴ The sum of consecutive even numbers is 82