the difference between the square of two consecutive numbers is 31
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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
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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