# What is the Sum of Two Consecutive Even Numbers, the Difference of Whose Squares is 164 :

**Answer: (1) 82**

**Explanation:-
**Let the two consecutive even numbers be X and X + 2

The difference of their squares is 164.

Then, (X + 2)² – X² = 164

X² + 2² + 2 x 2 X – X² = 164

4 + 4 X = 164

4 X = 164 – 4

4 X = 160

X = 160/4

X = 40

Then, the two consecutive numbers X = 40 and X + 2 = 40 + 2

= 42

Son, the sum of two numbers = 40 + 42

= 82.

Hence, the answer is (1) 82.