Question

The difference between the squares of two consecutive numbers is 101. Find the numbers.

Answer 1

Question :- The difference between the squares of two consecutive numbers is 101. Find the numbers.

Answers :- first consecutive number is 50

and second one is 51 .

Solution :-

let the first number be = x

and second number be = x+1

Now ,

According to question

(x+1)² - (x)² = 101

=> x²+2x+1 -x² = 101

=> 2x = 100

=> x = 100/2

=> x = 50

So , the second number = 50 + 1

=> 51

Therefore the numbers are 50 & 51

Thank you for asking !

Answer 2

Answer:

Given,

Squares of two consecutive numbers is 101.

Find,

The required number

Step-by-step explanation:

So,

Let the two consecutive numbers be x

So, the number is x+1

Then, (x+1)² - x² = 101

Or x² + 2x + 1 - x² = 101

Or 2x + 1 = 101

Or 2x = 101-1

Or 2x = 100

Or x = 100/2

Or x = 50

=> x+1 = 50 + 1 = 51

Hence,

The numbers are 50 and 51