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Answer:
117, 118
Step-by-step explanation:
In order to find the pair of numbers with a sum of a number (x) whose product is maximum, you must find the numbers closest to half of x.
If the sum is odd, find the two numbers closest to half. If it is even, the largest product is half the sum multiplying itself.
In this case, with 235 being the sum, find the numbers closest to half of 235.
[tex]\frac{235}{2}[/tex] = 117.5
So, the closest numbers to half of 235 is 117 and 118.
The pair of numbers with a sum of 235 whose product is maximum is 117 and 118.