Answer:
35, 36
Step-by-step explanation:
Let the two consecutive positive integers be x and (x + 1)
According to the given information:
[tex]x(x + 1) = 1260 \\ \\ {x}^{2} + x - 1260 = 0 \\ \\ {x}^{2} + 36x - 35x - 1260 = 0 \\ \\ x(x + 36) - 35(x + 36) = 0 \\ \\ (x + 36)(x - 35) = 0 \\ \\ x + 36 = 0, \: \: x - 35 = 0 \\ \\ x = - 36, \: \: x = 35 \\ \\ \because \: x \in \: positive \: integer \\ \\ \therefore \: x \neq \: - 36 \\ \\ \therefore \: x = 35 \\ \\ x + 1 = 36[/tex]
