1 Kings 3:23-26
The king said, 'This one says, "My son is alive and your son is dead," while that one says, "No! Your son is dead and mine is alive." 'Then the king said, 'Bring me a sword.' So they brought a sword for the king. He then gave the order: 'Cut the living child in two and give half to one and half to the other.' The woman whose son was alive was filled with compassion for her son and said to the king, 'Please, my lord, give her the living baby! Don't kill him!' But the other said, 'Neither I nor you shall have him. Cut him in two!'
Using the wisdom that God had granted him, Solomon proposed cutting the child in half to divide it among the two women. The one lady begged him to give it to the other while the other lady was happy knowing that, if she couldn't have him, then, the other lady couldn't either. They had no idea that the king was just testing them but they knew that he had the authority to do what he said.