Question 744611: two positive integers have a sum of 14 and a product of 24. what are the integers?
Found 3 solutions by lynnlo, Alan3354, ikleyn:
Answer by lynnlo(4176)   (Show Source):
Answer by Alan3354(69443)  (Show Source):
Answer by ikleyn(52968)  (Show Source):
You can put this solution on YOUR website! .
two positive integers have a sum of 14 and a product of 24. what are the integers?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Short way is to guess the numbers mentally: they are 2 and 12.
This way requires from 2 to 5 seconds, maximum, without any writing.
The long way is to solve using equation/equations.
Let x be one of the two numbers. Then the other number is 14-x.
Their product is 14 - so, we write this equation
x*(14-x) = 24,
14x - x^2 = 24,
x^2 - 14x + 24 = 0,
(x-2)*(x-12) = 0,
and we see that the solutions are x=2 or x= 12.
They are the same as we found mentally above.
Solved.
The answer by @lynnlo is incorrect, so ignore his/her post.
|
|
|
