They replied, "Believe in the Lord Jesus, and you will be saved – you and your household." (NIV)

And they answered, Believe in the Lord Jesus Christ [give yourself up to Him, take yourself out of your own keeping and entrust yourself into His keeping] and you will be saved, [and this applies both to] you and your household as well. (AMP)

And they said, Believe on the Lord Jesus Christ, and thou shalt be saved, and thy house. (KJV)