Question

the difference between the square of two consecutive number is 31 . find the​

Answer 1

Answer:

15 and 16

Step-by-step explanation:

Let the smaller number be x.

Next consecutive number = (x+1)

According to Question,

(x+1)² - x² = 31

=> x²+2x+1-x² = 31

=> 2x+1 = 31

=> 2x = 31-1

=> 2x = 30

=> x = 15

Hence, the consecutive numbers are 15 and 16.