Question

"The difference between the square of two consecutive
numbers is 31. Find the numbers​

Answer 1

Given ,

The difference between the square of two consecutive numbers is 31

Let , the two consecutive numbers are x and x + 1

According to the question ,

➡(x)² - (x + 1)² = 31

➡(x)² - (x)² + (1)² + 2x = 31

➡1 + 2x = 31

➡2x = 30

➡x = 30/2

➡x = 15

Hence , the two numbers are 15 & 16

Answer 2

Step-by-step explanation:

let first consecutive no..=x

second consecutive no.=x+1

according to the question,

x square -(x+1) square =31

x square - x square +1+2x=31

2x=31-1

2x=30

x. =15(ans)

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