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Mathematics
Grade10
Easy
Question
The sum of two numbers is 18, and the product of these two numbers is 56. What are the numbers?
4 and 14
10 and 8
8 and 7
2 and 28
The correct answer is: 4 and 14
First, we know two things: Substituting in the second equation gives: Multiplying this out gives: Which rearranges to: Second, factor this quadratic to get our solution: Therefore: