The least common multiple of two numbers is 84, and one of the numbers is 5 less than 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 and their lcm is 84. me!

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

12, 7     or    -7, -12

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)