Aragorn does not answer.

While the people of Rohan have a rest on their way to Helm's Deep, Éowyn prepares a stew, which she first offers to Gimli. As Gimli doesn't want any, she offers it to Aragorn.

Éowyn : I made some stew. It isn't much but it's hot.
Aragorn : Thank you.

He tries the stew which is obviously not very tasty, judging by the look on his face.

Aragorn : It is good.
Éowyn : Really ?

Éowyn turns around to leave. Aragorn is about to throw the stew away when she turns to him again.

Éowyn : My uncle told me a strange thing. He said that you rode to war with Thengel, my grandfather. But he must be mistaken.
Aragorn: The King has a good memory. He was only a small child at the time.
Éowyn : Then you must be at least 60.

Aragorn smiles at her.

Éowyn : 70 ?

He still smiles.

Éowyn : But you cannot be 80 !

Aragorn : 87.
Éowyn : You are one of the Dúnedain. A descendant of Númenor, blessed with long life. It was said that your race had passed into legend.
Aragorn : There are few of us left. The northern kingdom was destroyed long ago.
Éowyn : I am sorry. Please. Eat.

In the night, Aragorn dreams of Arwen. The next day, Éowyn asks him where the woman who gave him the Evening star is. He then remembers the day he said goodbye to Arwen, before leaving with the Fellowship. We see him walking down a stair in Rivendell. Arwen joins him.

Arwen : Is this how you would take your leave ? Did you think you could slip away at first light, unnoticed ?
Aragorn : I will not be coming back.
Arwen : You underestimate your skill in battle. You will come back.
Aragorn : It is not of defeat in battle that I speak...
Arwen : What do you speak of ?

Aragorn gives the Evening star back to Arwen, but she wants him to keep it.

After the attack of the Wargs, the people of Rohan reach Helm's Deep. Éowyn and some others are stocking the food.

Éowyn : Where is the rest ?
Man : This is all we could save my lady.
Éowyn : Take it to the caves.

King Théoden and his men arrive.

In Ithilien, Faramir talks to Frodo and Sam.

Faramir : You're a friend of Boromir ?
Frodo : Yes. For my part.
Faramir : It will grieve you then to learn that he is dead ?
Frodo : Dead ? How ? When ?
Faramir : As one of his companions, I'd hoped you would tell me.
Frodo : If something has happened to Boromir we would have you to tell us.
Faramir : His horn washed up upon the riverbank about six days past. It was cloven in two. But more than this I know it in my heart. He was my brother.

In a flash-back scene, we see Faramir standing on the bank of a river. A boat is coming closer. In it lies the dead Boromir.

Back in Ithilien, we see Faramir sitting on a stone, holding the broken horn of his brother. He remembers the day when he and his brother had just taken back Osgiliath back from the Orcs. His brother held a speech in front of the soldiers of Gondor.

Soldiers : Boromir ! Boromir !
Boromir : This city was once the jewel of our kingdom. A place of light and beauty and music. And so it shall be once more. Let the armies of Mordor know this : Never again will the land of my people fall into enemy hands. The city of Osgiliath has been reclaimed for Gondor !
Soldiers : For Gondor !
Boromir : For Gondor !
Soldiers : For Gondor !

Faramir : Good speech. Nice and short.
Boromir : Leaves more time to drinking. (To some soldiers) Break out the ale. These men are thirsty. (To Faramir again) Remember today, little brother. Today, life is good.

Faramir looks aside.

Boromir : What ?
Faramir : He's here.
Boromir : Moment of peace, can he not give us that ?

Denethor joins them.

Denethor : Where is he ? Where is Gondor's finest ? Where is my first born ?
Boromir : Father !
Denethor : They say you vanquished the enemy almost single-handedly.
Boromir : They exaggerate. The victory belongs to Faramir also.
Denethor : But for Faramir this city would still be standing. (To Faramir) Were you not entrusted to protect it ?
Faramir : I would have done, but our numbers where too few.
Denethor : Oh, too few. You let the enemy walk in and take it on a whim. Always you cast a poor reflection on me.
Faramir : That is not my intend.
Boromir : You give him no credit and yet he tries to do your will.

Boromir and Denethor leave Faramir alone.

Boromir : He loves you father.
Denethor : Do not trouble me with Faramir. I know his uses, and they are few. We have more urgent things to speak of. Elrond of Rivendell has called a meeting. He will not say why, but I have guessed its purpose. It is rumored that the weapon of the enemy has been found.
Boromir : The One Ring. Isildur's bane.
Denethor : It has fallen into the hands of the Elves. Everyone will try to claim it. Men, Dwarves, wizards. We cannot let that happen. This thing must come to Gondor.
Boromir : Gondor.
Denethor : It's dangerous, I know. Ever the Ring will seek to corrupt the hearts of lesser Men. But you, you are strong. And our need is great. It is our blood which is being spilled, our people who are dying. Sauron is biding his time. He's massing fresh armies. He will return. And when he does, we will be powerless to stop him. You must go. Bring me back this mighty gift.
Boromir : No. My place is here with my people. Not in Rivendell.
Denethor : Would you deny your own father ?

Faramir joins them.

Faramir : If there is need to go to Rivendell, send me in instead.
Denethor : You ? Oh I see. A chance for Faramir, captain of Gondor to show his quality. I think not. I trust this mission only to your brother. The one who will not fail me.

We see Boromir leaving Gondor. He looks back to his brother.

Boromir : Remember today, little brother.

In Ithilien, Faramir gives Frodo the chance to save Gollum, which is what Frodo does. We see Faramir's men beating Sméagol, before Gollum awakes again.

In Helm's Deep, people are preparing to fight. Aragorn and Legolas are walking through the crowd.

Aragorn : We'll place the reserves along the wall. They can support the archers from above the gate.
Legolas : Aragorn, you must rest. You're of no use to us half alive.

Éowyn joins them.

Éowyn : Aragorn. I'm to be sent with the women into the caves.
Aragorn : That is an honorable charge.
Éowyn : To mind the children, to find food and bedding when the men return. What renown is there in that ?
Aragorn : My lady, a time may come for valor without renown. Who then will your people look at in the last defense ?
Éowyn : Let me stay at your side.
Aragorn : It is not in my power to command it.
Éowyn : You do not command the others to stay. They fight beside you because they would not be parted from you. Because they love you!!!... I'm sorry.