If 2017 is added to two consecutive numbers, the result is 34 times of the bigger number. What is the bigger number?

If 2017 is added to two consecutive numbers, the result is 34 times of the bigger number. What is the bigger number?
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2 Answers

If x=the larger number, then x-1 is the other one and:

2017+x+x-1=34x, 2016=32x, so x=2016/32=63.

The larger number is 63.

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