SOLUTION: Jimbob is three years older than his brother. The sum of their ages is 33 how old is jimbob

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Jimbob is three years older than his brother. The sum of their ages is 33 how old is jimbob      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1077594: Jimbob is three years older than his brother. The sum of their ages is 33 how old is jimbob
Answer by themasterofcircuits(27) About Me  (Show Source):
You can put this solution on YOUR website!
Let J represent Jimbob's age and B represent his brother's age:
Jimbob is 3 years older than his brother, so J=B+3
The sum of Jimbob's age and his brother's age is 33, so J+B=33
We now have a system of equations:
J=B+3 (1)
J+B=33 (2)
Substitute (1) into (2):
(B+3)+B=33
2B=30
[B=15]
His brother is 15 years old.
Substitute B=15 into (2)
J+15=33
[J=18]
Hence Jimbob is 18 years old and his brother is 15 years old.