Question

Aaron is 5 years younger than Ron. Four years later, Ron will be twice as old as Aaron. Find their present ages.

Answer 1

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Question - Aaron is 5 years younger than Ron. Four years later, Ron will be twice as old as Aaron. Find their present ages.

Answer - 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

Therefore, present age of Ron = 6 years and present age of Aaron = 1 year.

Answer 2

Therefore, Aaron’s present age = x - 5 = 6 - 5 = 1

Step-by-step explanation:

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