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The sum of two numbers is 20, and their product is 51. What are the two numbers?
this is a word problem, your answer should be detailed and a complete solution. thank you :)
5 Answers
- ?Lv 79 years agoFavorite Answer
The sum of two numbers is 20,
and their product is 51.
What are the two numbers?
x + y = 20
xy = 51
x(20 - x) = 51
x^2 - 20x + 51 = 0
(x - 17)(x - 3) = 0
Solutions:
x = 3, 17
The two numbers are 3 and 17.
- ?Lv 59 years ago
x + y = 20
xy = 51
x = 20 - y
(20 - y)y = 51
-y^2 + 20y = 51
y^2 - 20y + 51 = 0
(y - 17) (y - 3) = 0
y = 17 or 3
x + 17 = 20 or x + 3 = 20
x = 3 or 17
the two numbers are 17 and 3
- δοτζοLv 79 years ago
Let the numbers be x and y. Then
x + y = 20
xy = 51
y = 51/x
x + (51/x) = 20
x² + 51 = 20x
Solve the quadratic, find y, and check for extraneous solutions.
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