There were 63 equal piles of plantain fruit put together and 7 single fruits. They were divided evenly among 23 travelers. What is the number of fruits in each pile? (Hint: Consider the diophantine equation 63x + 7 = 23y.

There are 28 fruits in each pile.

Step-by-step explanation:

We are given the following in the question:

Let x denote the number of fruits in each pile and y denote the number of fruits that every traveler receive.

Consider the diophantine equation:

We obtain the greatest common divisor of (63,-23).

The greatest common divisor f 63 and -23 is 1.

Therefore, there exist such that

By applying extended Euclidean Algorithm, we have,

Multiplying -7 on both sides, we get,

Thus, we get,

Thus, there are 28 fruits in each pile.

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step-by-step explanation:

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the answer to this question is in the pic