# Flowers

The Fairy is trying to give away all of her flowers to 28 girls and 37 boys in such a way that each girl gets $$x\, (>0)$$ flowers and each boy gets $$y\, (>0)$$ flowers.

What is the maximum number of flowers the Fairy can have such that the above condition is met and there is only one integer solution $$(x, y)?$$

×