The Blue Nile and the White Nile which join to form the Nile River and its delta where it flows into the Mediterranean Sea
The Blue Nile and the White Nile converge at Khartoum, Sudan.
There is not just one place where two heads of water join to form another body of water. The White Nile and Blue Nile come together to form the Nile river.
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Blue Nile and White Nile, which join at Khartoum in The Sudan.
Two tributaries of the Nile River are the White Nile, which originates from Lake Victoria in Uganda, and the Blue Nile, which starts at Lake Tana in Ethiopia. Both tributaries join in Sudan to form the main Nile River that flows northward through Egypt.
SUDAN ATBARA
That happens in the country of Sudan.
The Nile river is composed of the Blue Nile and the White Nile. The Blue and White join to make the larger Nile that flows through Egypt.
Khartoum, Sudan
The Blue Nile and the White Nile are each tributaries of the Nile River. The Nile Delta is at the northern end of the Nile where the Nile River meets the sea. But that is many, many miles from Khartoum where the Blue Nile and the White Nile join each other. So the short answer to your question is "no". Wikipedia has some pretty pictures and maps of these rivers. If you really wanted to argue in favor of "yes", you could point out that the Nile delta is formed of sediment and most of the sediment in the Nile River comes from Ethiopia via the Blue Nile.
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