A number theory problem by Shreya Jain
Number Theory
Level
2
A x B= 10000 where A and B are integers which do not end with zero. Find A+B.
The answer is 641.
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10000 = 10^4 = (2^4) * (5^4) .
We get a zero when we multiply a 2 and a 5 so if we want a non zero ending number we just don't have to do it. So we get 16 and 625 as the required numbers. So answer will be 641. 😀😀