Question

The difference between the square of two consecutive numb is31 . find the numb

Answer 1

Let,

Consecutive numbers are
• x
• x+1
_________________

According to the question,


(x+1)² -x² = 31

(x+1-x) (x+1+x) =31

(1) (2x+1) =31

2x +1=31

2x=31-1

2x = 30

x =30/2

x =15


Numbers are,

•15
• 15+1=16




I hope this will help you



-by ABHAY

Answer 2

Hiii friend,

Let the first consecutive Number be X .

Then the other will be (X+1)

According to question,

(X+1)² - (X)² = 31

X²+1 +2 × X × 1 - X² = 31

2X+1 = 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 two consecutive Number is 15 and 16


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