justin is 4 years older than logan. in nine years the sum of there ages will be 60. how old is each man now?

Question

justin is 4 years older than logan. in nine years the sum of there ages will be 60. how old is each man now?

Answer 1

To solve this, I would set up an equation and solve for x to find Logan's age.  From there, you can then find Justin's age.

 

I start with x + (x+4), where x= logan and (x+4)=justin.  We know that we are adding 9 years to each of their ages, so this equation would read:

 

(x+9) + (x+4+9)= 60

 

I then add 4+9 in the second parentheses so the equation would read:

 

(x+9) + (x+13) = 60.

 

Next, remove the parentheses and combine like values.

 

2x+ 22= 60

2x=38

x= 19

 

We now know that Logan's current age is 19.  When we add 4 to his age, we find that Justin's age is 23.

 

You can check to make sure you got the right answer.  If The answer is correct, then:

 

(Logans age + 9 years) + (Justin's age + 9 years) = 60

19+9+23+9=60