The two numbers will be such that their sum is 20 and the product is 64 are 16 and 4.
Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say two numbers are x and y
Then,
Sum x + y = 20
Product xy = 64
Now, by substituting y = 20 - x into the second equation
x(20 - x ) = 64
20x - x² = 64
x² - 20x + 64 = 0
x² - 16x - 4x + 64 = 0
x(x-16) -4 (x - 16) = 0
(x - 4)(x - 16) = 0
x = 4 , 16
Hence "The two numbers will be such that their sum is 20 and the product is 64 are 16 and 4".
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