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Find two numbers whose sum is 16 and whose product is 55

Sagot :

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