Five years ago, Roel was three times as old as his brother Tony. In 10 years, he will be 10 years older than Tony. Find their present ages.
Let's assume that Roel's present age is R and Tony's present age is T.
According to the given information,
Five years ago, Roel was three times as old as his brother Tony.
(R - 5) = 3(T - 5) ---(Eq.1)
In 10 years, he will be 10 years older than Tony.
(R + 10) = (T + 10) + 10 ---(Eq.2)
Simplifying Eq.1, we get:
R - 5 = 3T - 15
R = 3T - 10 ---(Eq.3)
Substituting Eq.3 into Eq.2, we get:
(3T - 10 + 10) = (T + 10) + 10
3T = T + 20
2T = 20
T = 10
Substituting the value of T into Eq.3:
R = 3(10) - 10
R = 30 - 10
R = 20
Therefore, Roel is currently 20 years old and Tony is currently 10 years old.