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Question 141
The sum of two numbers is equal to 27 and their product is equal to 182. What are the two numbers?
Solution
Let x and y be the two numbers.
x+y = 27
x*y = 182
x + (182/x) = 27
x^2 - 27x + 182 = 0
x^2 - 14x - 13x +182 = 0
(x-13)(x-14) = 0
x = 13 or x = 14
y = 14 or y = 13
13 and 14 are the numbers.
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