Kim is 4/5 as old as Alan. In four years, she will be 5/6 as old as he will be. How old is each now? (Please show all your work, with statements)

Kim is 16 and Alan is 20

Kim => x

Alan => y

Kim is 4/5 as old as Alan  =>  

In four years, she will be 5/6 as old as he will be =>

Solving the system we obtain x=16 and y=20

step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b