Question

Express the squares of the following numbers as the sum of any two consecutive natural
numbers
a) 21​

Answer 1

Answer:

21^2  =   441

220  +  221   =    441

341   +  100   =   441

Explanation:

Answer 2

Answer:

First number = 220

Second number = 221

Explanation:

First of all, square of 21 is 441.

Let one number be x.

So, the other number is x+1. (since, both numbers are consecutive)

According to question,

x + x + 1 = 441

Or, 2x + 1 = 441

Or, 2x = 441 - 1

Or, 2x = 440

Or, x = 440/2

Or, x = 220.

So, first number is x = 220.

And, second number is x + 1 = 221.

So, the square of the number 21 can be expressed as the sum of two consecutive natural numbers : 220 & 221.