Tende Freeze! and Psychometrer Eiji are two very different manga. One is a crazy comedy and the other one is a mystery\detective series. They do however have something in common. Both of those series feature a high school boy hanging out with an attractive older woman. Why would such woman be interested in a younger guy (considering affection is out of question)? As it happens the male lead can use precognition powers or in case of Tende Freeze! allow the female lead to use them. Although those woman have different use for such powers (one uses them for her own amusement and profit, while the other one uses them to solve criminal cases), as you can guess those powers are the reason why they hang out with the male lead (not to mention putting up with his flaws).