Uncle Jason is twice as old as his nephew Ralph, and 10 years ago he was three times as old as Ralph. Find their present ages.

Respuesta :

Answer:

40 and 20

Step-by-step explanation:

  • Uncle Jason's age = x
  • Nephew Ralph age = y

Solution

Age now:

  • x= 2y

Age 10 years ago:

  • x- 10 = 3(y-10)

Substituting x in the second equation:

  • 2y - 10 = 3y - 30
  • 3y - 2y = 30 -10
  • y = 20

Then, finding x:

  • x= 2y
  • x= 2*20
  • x= 40

Answer: Uncle Jason is 40 and nephew Ralph is 20 years old