SOLUTION: Donna is 12 years younger than her brother. In 2 years, she will be 14 years more than half as old as her brother.How old is each now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Donna is 12 years younger than her brother. In 2 years, she will be 14 years more than half as old as her brother.How old is each now?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 704771:

Donna is 12 years younger than her brother. In 2 years, she will be 14 years more than half as old as her brother.How old is each now?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
D=B-12
D+2=B/2
SUBSTITUTE (B-12) FOR D IN THE SECOND EQUATION.
B-12+2=B/2
B-10=B/2 CROSS MULTIPLY.
B=2(B-10)
B=2B-20
B-2B=-20
-B=-20
B=20 ANS. FOR BROTHER'S AGE.
D=20-12=8 AGE OF DONNA.
PROOF:
8+2=20/2
10=10