Find two numbers that have the product of 14 and the sum of 9.
A) 1 and 7
B) 1 and 6
C) 2 and 9
D) 2 and 6
E) 2 and 7

Question

Quizplus · Accepted Answer

To find two numbers with a product of 14 and a sum of 9, we need to solve the system of equations: 
xy = 14
x + y = 9

From the first equation, we can see that the numbers must be factors of 14, which are: 
1, 2, 7, and 14

From the second equation, we can see that the sum of the two numbers must be 9. 
Testing each possible pair of factors, we find that only 2 and 7 satisfy the second equation: 
1 + 14 = 15 
2 + 7 = 9

Therefore, the answer is choice E, 2 and 7.

Find Two Numbers That Have the Product of 14 and the Sum