Question

The difference between the squares of two consecutive natural numbers is 55. Find the product of the sum of the two numbers and the difference between the two numbers.

• A. 110
• B. 27
• C. 55
• D. 1

Answer 1

The correct option is C 55

The difference between the squares of any two consecutive natural numbers is their sum. In this case it is given as 55 so that means the sum of the numbers is 55.

Additionally, the numbers are consecutive natural numbers, so that means the difference between them is 1.

So, the product of the sum os the two numbers and the difference between the two numbers $=55\times 1=55$