Problema Solution

Nadia is 36 years younger than William. For the last two years, William and Nadia have been friends. Fourteen years ago, William was 5 times as old as Nadia.

Answer provided by our tutors

Let


x = Nadia's age now, x>0


y = William's age now, y>0


Nadia is 36 years younger than William:


x = y - 36


Fourteen years ago, William was 5 times as old as Nadia:


y - 14 = 5(x - 14)


We have the following system of equations:


x = y - 36


y - 14 = 5(x - 14)

........


click here to see all the system of equations solution steps


........

x = 23 years


y = 59 years


Nadia is 23 years old now.


William is 59 years old now.