Question

The sum of two consecutive natural number is 23. Find the difference between the squares of such two numbers?

Answer 1

Let the consecutive natural numbers be x and x+1.

x + x+1 = 23

2x + 1 =23

2x = 23 - 1 =22

x = 22/2 = 11

x + 1 = 11 + 1 = 12

The numbers are 11 and 12.

Difference between squares of these numbers = 12² - 11² = 144 - 121 = 23 is the answer.

Answer 2

Answer:

Step-by-step explanation:

The difference between consecutive square numbers is always odd. The difference is the sum of the two numbers that are squared. b. ... The difference is always odd; it can be worked out by trebling (multiplying by 3) the sum of the two numbers that are squared.