Aaron is 5 years younger than Ron. Four years later, Ron will be twice as old as Aaron. Find their present ages.
Solution:
Let Ron’s present age be x.
Then Aaron’s present age = x - 5
After 4 years Ron’s age = x + 4, Aaron’s age x - 5 + 4.
According to the question;
Ron will be twice as old as Aaron.
Therefore, x + 4 = 2(x - 5 + 4)
⇒ x + 4 = 2(x - 1)
⇒ x + 4 = 2x - 2
⇒ x + 4 = 2x - 2
⇒ x - 2x = -2 - 4
⇒ -x = -6
⇒ x = 6
Therefore, Aaron’s present age = x - 5 = 6 - 5 = 1