Question

the difference between the squares of two consecutive numbers is 31. find the numbers.

Answer 1

(x+1)2-x2=31
Solve by yourself

Answer 2

Let consecutive numbers be x and x+1
( x + 1 )^2 - ( x )^2 = 31
x^2 + 1 + 2x - x^2 =31
2x + 1 =31
2x = 30
x = 15
So numbers are 15 and 16


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