Question

The difference between the squares of two consecutive no is 31 find the no

Answer 1

Answer:

15 and 16

Step-by-step explanation:

Let the numbers are 'a' and 'a + 1'.

Differencr betwee the squares is 31.

=> (a + 1)² - a² = 31

=> a² + 1² + 2(1)(a) - a² = 31

=> 1 + 2a = 31

=> 2a = 31 - 1

=> 2a = 30

=> a = 15

Therefore the numbers are:

a = 15

a + 1 = 15 + 1 = 16

Answer 2

Step-by-step explanation:

let two conscutve umber be x and x+1

(x+1)^2 - x^2= 31

x^2+2x+1- x^2 = 31

2x+1 = 31

2x = 31-1

2x = 30

x = 30/2

x = 15

x = 15

x+1 = 15+1 = 16