Final answer:
Egypt and Syria were the two modern-day countries under Muslim control at the time of Muhammed's death.
Step-by-step explanation:
The two modern-day countries that were under Muslim control at the time of Muhammad's death in 632 CE were Egypt and Syria.
Under the rule of Muhammad Ali's family, Egypt temporarily extended its power into Saudi Arabia and Syria. During this time, the House of Sa'ud captured Riyadh and brought it under control, and Egypt had influence over parts of Saudi Arabia and Syria.