It's worth noting that the age requirements selected then were less about wisdom and experience, and more about residency in the US. The chief fear at the time

It's worth noting that the age requirements selected then were less about wisdom and experience, and more about residency in the US. The chief fear at the time was a European power manipulating the country to put a puppet in charge, so to avoid this they wanted to limit power to those who had resided in the US for a long time, but they also didn't want to preclude themselves from holding offices in the future. These numbers (35 for president, 30 for senator, and 25 for house representative) represent a compromise - note that the constitution's primary authors were 36 and 31 at the time it was signed, and the youngest signer was 26.