Question

The difference between the square of two consecutive number is 15 .Find the number.

Answer 1

Hey friend, Harish Here.

Here is your answer:

Let the consecutive numbers be (n), (n+1)  

We know that a² - b² = (a+b)(a-b)

Then (n+1)² - n²  = (n+1+n) (n+1-n)   -- ( By applying the above identity)

                 =>     15 = (2n+1) (1) 
                       
                 =>     15 = 2n+1
                           
                 =>      14= 2n

∴ n = 7.  & n+1 =8

So, the two consecutive numbers are 7 & 8.

Hope my answer is helpful to  u.

Answer 2

let the numbers be x& x-1
therefore, according to the condition, 
 (x)^2-(x-1)^2=15
x^2-x^2-1+2x=15
              2x-1=15
       2x=15+1=16
                   x=16/2=8
                    x=8
                 x+1=8+1=9
hence the number is x (x+1)
               answer=89
please mark my answer as brainliest.
hope it helps.............please feel free to ask doubts to me