Question

The least common multiple of two numbers is 84, and one of the numbers is 5 less than the other number. What are the numbers? Complete the explanation.
The two numbers are __ and __.84 is a multiple of each of its factors. The factors with a difference of 5 are__ and __ their LCM is 84.

Answer 1

Answer:

factor 1 = x

factor 2 = x - 5

(factor 1)  *  (factor 2)  = 84

    (x)      *      (x - 5)     = 84

          x² - 5x              = 84

              x² - 5x - 84   = 0

             (x - 12) (x + 7)  = 0

x - 12 = 0    or     x + 7 = 0

 x = 12       or      x = -7

factor 2 = x - 5   = (12) - 5  = 7    or    (-7) - 5  =  -12

Answer: 12, 7     or    -7, -12

Answer 2

Answer:

Below.

Step-by-step explanation:

84 = 7 * 12.

The 2 numbers are 7 and 12.

12 and 7 have a difference of 5.