The number 2017 can be expressed as the difference of the squares of two consecutive whole numbers. What is the sum of these two numbers?
1 answer:
Let x be the first number
X + 1 be the second number
So
(x+1)^2 – x^2 = 2017
X^2 + 2x +1 – x^2 = 2017
2x + 1 = 2017
2x = 2017 – 1
2x = 2016
X = 1008
X + 1 = 1009
Sum = 1008 + 1009 = 2017
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