How old are Julios father and Julio?

Question

Julios father is four times older than Julio. In ten years, Julios father age will be two years less than Julios agetimes three. How old are Julios father and julio?

Answer 1

Let's assign two variables

J = Julio's age

K = Julio's father's age

 

From the first sentence

K = 4J

 

From the second sentence

K+10 = 3(J+10) - 2

 

Let's substitute K=4J in the second equation and solve for J

4J + 10 = 3(J+10)-2

4J + 10 = 3J + 30 - 2

 

Rearranging terms so that the J's are on one side and the constants are on the other.

J = 18

 

So Julio is 18 and his father is 4(18) = 72

Answer 2

Assume Julios age is x

Then right now, Julios fathers age is 4x

 

In 10 years, Julios fathers age will be two years less than Julios age times three. This can be expressed algebraically as:

 

4x+ 10 = 3(x + 10) -2

 

Solving this equation, x= 18 and 4x =72.

 

So Julio is currently 18 years old and his father is 72.