Question

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

we know that the sum of two consecutive numbers is equal to difference of their squares , therefore ,

let the first number is x , then second one is x+1

so , x + x+1 = 31

2x = 31-1

2x = 30

x = 30/2

x = 15

x+1 = 16

Answer 2

Answer:

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Step-by-step explanation:

Let 1st con number x

Let 2nd con. number x+1

So,

x+x+1=31

2x+1=31

2x=31-1

x=30/2

x=15

1st con number=x=15

2nd con number=x+1=15+1=16