Luke 8:41

‘And behold, there came a man named Jairus, and he was a ruler of the synagogue, and he fell down at Jesus' feet, and besought him to come to his house,'

As Jesus responded to their welcome a man came and fell at His feet. He was a ruler of the synagogue and He begged Jesus ‘to come to his house'. Perhaps Luke here has in mind another whose servant was dying, and whose master did not require Jesus to come to his house because of his great faith (Luke 7:1). There the elders of the synagogue had supported his case, but here it was the ruler of the synagogue himself. In the submission of this man to Jesus we see the important lesson that if only the Synagogue will submit to Jesus, its offspring will live. And it is also made clear to the readers that at this stage the people's synagogues welcomed Jesus. Yet with this important man went doubting faith. He did not have the faith of the Gentile centurion.

So Jairus falls down at Jesus' feet. The synagogue submits to the Prophet. Luke calls him the Ruler of the Synagogue, Mark calls him the official who had the charge of the arrangements for the synagogue services. It was in fact possible to combine both posts.