Math, asked by rajeshwari954, 1 year ago

the difference between the square of two consecutive numbers is 31

Answers

Answered by BrainlyHulk
8
Hi Friend ✋✋✋

Let the two consecutive numbers be x , and ( x + 1 )

Squares of these numbers :

x² and ( x + 1 ) ²

Their difference is 31

( x + 1 ) ² - x² = 31

( x² + 2x + 1 ) - x² = 31

x² - x² + 2x + 1 = 31

2x + 1 = 31

2x = 30

x = 15

( x + 1 ) = 15 + 1 = 16

The consecutive numbers are 15 and 16

Hope it helps
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