# MO 2016 Numerical axis

Cat's school use a special numerical axis. The distance between the numbers 1 and 2 is 1 cm, the distance between the numbers 2 and 3 is 3 cm, between the numbers 3 and 4 is 5 cm and so on, the distance between the next pair of natural numbers is always increased by 2 cm.

Which of two natural numbers is a 39 cm distance on the Cat's numerical axis?

Find all solutions.

Result

n =  2

#### Solution:

$6, 9; 20, 21 \ \\ n=2$

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