Question

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​

Answer 1

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