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QWhat is the larger of two numbers whose product is 168 and whose sum is 26?

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#4457Q ID
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  • A 14 ✔ ✖
  • B 16 ✔ ✖
  • C 20 ✔ ✖
  • D 26 ✔ ✖
Correct Answer

Explanation

Let the numbers be x and (26 - x). 
This means that the numbers are x and 26 - x.

We can express this relationship mathematically as:

x (26 - x) = 168

Expanding this equation gives us:

x^2 - 26x + 168 = 0

This quadratic equation can be factored as:

(x - 14)(x - 12) = 0

This means that x = 14 or x = 12. 
Therefore, the numbers are 14 and 12.

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