What do both the senate and the house of representatives require of people running for election?
they must be at least 30 years old.
they must be a resident of a us state.
they must have experience in state government.
they must have lived in the us as a citizen for 10 years.

They must be a resident of a US state.  

Explanation:

The 'house of representatives' is composed up of '435 elected members' from the '50 different states' on the basis of the population proportion. For the eligibility to be a 'member of house of representatives', one should be of at least '25 years of age', must be a US citizen for seven years and they must be a 'resident of the state' they represent.  Similarly, to be a 'member of a senate', one must be a US citizen for nine years, must be '30 years of age' and must be the resident of the state they represent.