Question

the difference between the square of two consecutive numbers is 31 .find the numbers.

Answer 1

Heya !!!



Let the number be X and (X+1)


Therefore,


(X+1)² - (X)² = 31


X² + 1 + 2 × X × 1 - X² = 31


1 + 2X = 31


2X = 31-1

2X = 30


X = 30/2


X= 15

First Number = X = 15


And,



Second number = (X+1) = 15 + 1 = 16



HENCE,


THE NUMBERS ARE 15 AND 16.


HOPE IT WILL HELP YOU...... :-)

Answer 2

Let consecutive numbers are,

x and (x + 1)

--------------------------

According to the question,

(x + 1 )² - x² = 31 

x² + 1 + 2x - x² = 31 

x²+   2x  - x² =31 - 1 

2x = 30

x = 30/2

x = 15


-------------------

numbers 

x = 15
x + 1 = 15 + 1 = 16


numbers = 15 and  16 




i hope this will help you


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