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Let the 2 numbers be x and y
then we have x+y = 21
y = 21 - x ......(1)
Also given that xy = 98
plug in y from (1)
x(21-x) = 98
21x - x² = 98
x² - 21x + 98 = 0
x² - 14x - 7x + 98 = 0
x(x-14) - 7(x - 14) = 0
(x-14)(x-7) = 0
x = 14 or x = 7
If x = 14 then y =21-14 = 7
If x=7, then y = 21-7 = 14
So the two numbers are 7 and 14
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