SOLUTION: Bill is one year less than twice as old as his sister Caroline. The total of their ages is 26. How old is Bill?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Bill is one year less than twice as old as his sister Caroline. The total of their ages is 26. How old is Bill?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 294415: Bill is one year less than twice as old as his sister Caroline. The total of their ages is 26. How old is Bill?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let B be Bill's age, C be Caroline's age.
1.B=2C-1
2.B%2BC=26
Substitute eq. 1 into eq. 2 and solve for C.
B%2BC=26
2C-1%2BC=26
3C=27
C=9
Then from eq.1,
B=2C-1=18-1=17
Bill is 17 and his sister is 9.