Question

Aaron is 5 years younger than ron. four years later, ron will be twice as old as aaron. find their present ages. Find using only one variable

Answer 1

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

Answer 2

Given:

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

To find:

The present age of Aaron and Ron.

Solution:

Let the present age of Aaron be x years.

So,

according to the question,

the present age of Ron is (x + 5) years.

Now,

The age of Aaron after 4 years = (x + 4) years.

The age of Ron after 4 years = (x + 5 + 4) years = (x + 9) years.

Also,

we have,

Four years later, Ron will be twice as old as Aaron.

So,

after four years,

x + 9 = 2(x + 4)

On solving the above, we get

x + 9 = 2x + 8

x = 9 - 8

x = 1 year

So,

the present age of Ron = 1 + 5 = 6 years.

Hence, the present age of Aaron and Ron is 1 year and 6 years respectively.