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lesya692 [45]
3 years ago
13

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?
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0

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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