Question

8. The difference between the squares of two consecutive numbers is 31. Find the numbers.
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Answer 1

Answer:

15 and 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

Answer 2

Answer:

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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