Ben is 9 years younger than his brother Jeff. in 10 years, the sum of their ages will be 67 how old are they now

Hey there! I'm happy to help!

Let's represent Ben's age with a B and Jeff's with a J in a few equations below.

B=J-9                               (Ben is 9 years younger than Jeff)

B+10+J+10=67                  (In 10 years, the sum of their ages will be 67)

We know that B is equal to J-9. So, in the second equation, we can replace B with J-9 to solve for J.

J-9+10+J+10=67

We combine like terms.

2J+11=67

We subtract 11 from both sides.

2J=56

We divide both sides by two.

J=28

And, we know that Ben is nine years younger than Jeff, so this means Ben is 19 years old.

Ben is 19 years old and Jeff is 28.

I hope that this helps! Have a wonderful day! :D

8

step-by-step explanation:

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative