the sum of n and k is 16, and the product of n and k is 60. which of the following equations must k satisfy?

Question

la suma de nyk es 16, y el producto de nyk es 60. ¿Cuál de las siguientes ecuaciones debe satisfacer k?

Answer 1

Could you please provide the choices?

The correct ones would be:

n + k = 16

k = 16 - n

nk = 60

k = 60/n

 

To solve: You would set the two equations for k equal to one another

 

16 - n = 60/n          multiply each term by n

 

16n - n² = 60          get all the terms on one side

 

n² - 16n + 60 = 0    solve by factoring

 

(n - 10)(n - 6) = 0   set each factor  equal to zero

 

n = 10 and k = 6 or

 

n = 6 and k = 10