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Answer:
5 and 11
Step-by-step explanation:
To solve the problem, we take x + y = 16 and solve it for y to get y = 16 - x. Then, we replace y in x • y = 55 with 16 - x to get this:
x • (16 - x) = 55
The bottom line is that when we solved the equation we got two answers which are the two numbers that have a product of 55 and a sum of 16. The numbers are:
5
11
The two numbers that have a product of 55 and a sum of 16 are 5 and 11 as proven below:
5 • 11 = 55
5 + 11 = 16