Question

The difference between the squares of two consecutive numbers is 31. Find the number ​

Answer 1

$\huge\green{ANSWER}$

ANSWER

Let the consecutive numbers be n,n+1

Given difference between their squares is 31

⟹(n+1)2−n2=31

⟹2n+1=31⟹n=15

The consecutive numbers are 15,16

Answer 2

Answer:

15,16

Step-by-step explanation:

Let the consecutive numbers be n,n+1

Given difference between their squares is 31

⟹(n+1)

2

−n

2

=31

⟹2n+1=31⟹n=15

The consecutive numbers are 15,16