Question

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.

Answer 1

40 and 20

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