Question

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)

Answer 1

Answer: Kim is 16 and Alan is 20

Kim => x

Alan => y

Kim is 4/5 as old as Alan =>
`x=(4)/(5)y`

In four years, she will be 5/6 as old as he will be =>
`x+4=(5)/(6)(y+4)`

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