Narrated Buraidah: A woman came to the Messenger of Allah (ﷺ) and said: I donated my slave-girl to my mother, but she died and left the slave-girl. He said: Your reward became due, and she came back to you in inheritance. She said: She died while a month's fasting was due from her. Would it be sufficient or be taken as completed if I fast on her behalf ? He said: Yes. She said: She also did not perform Hajj. Would it be sufficient or be taken completed if I perform (Hajj) on her behalf ? He said: Yes.
Source: sunnah.com
Other translations
Arabic
حَدَّثَنَا أَحْمَدُ بْنُ يُونُسَ، حَدَّثَنَا زُهَيْرٌ، حَدَّثَنَا عَبْدُ اللَّهِ بْنُ عَطَاءٍ، عَنْ عَبْدِ اللَّهِ بْنِ بُرَيْدَةَ، عَنْ أَبِيهِ، بُرَيْدَةَ أَنَّ امْرَأَةً، أَتَتْ رَسُولَ اللَّهِ صلى الله عليه وسلم فَقَالَتْ كُنْتُ تَصَدَّقْتُ عَلَى أُمِّي بِوَلِيدَةٍ وَإِنَّهَا مَاتَتْ وَتَرَكَتْ تِلْكَ الْوَلِيدَةَ . قَالَ " قَدْ وَجَبَ أَجْرُكِ وَرَجَعَتْ إِلَيْكِ فِي الْمِيرَاثِ " . قَالَتْ وَإِنَّهَا مَاتَتْ وَعَلَيْهَا صَوْمُ شَهْرٍ أَفَيُجْزِئُ - أَوْ يَقْضِي - عَنْهَا أَنْ أَصُومَ عَنْهَا قَالَ " نَعَمْ " . قَالَتْ وَإِنَّهَا لَمْ تَحُجَّ أَفَيُجْزِئُ - أَوْ يَقْضِي - عَنْهَا أَنْ أَحُجَّ عَنْهَا قَالَ " نَعَمْ " .
sunnah.com