SOLUTION: Harry is one third as old as Ron and 8 years younger than Hermione. If Harry is 8 years old, what is the sum of their ages? Find the answers using a.)Cramer`s rule and b.) Gauss

Algebra ->  Matrices-and-determiminant -> SOLUTION: Harry is one third as old as Ron and 8 years younger than Hermione. If Harry is 8 years old, what is the sum of their ages? Find the answers using a.)Cramer`s rule and b.) Gauss      Log On


   

Question 1118004: Harry is one third as old as Ron and 8 years younger than Hermione. If Harry is 8 years old, what is the sum of their ages?
Find the answers using a.)Cramer`s rule and b.) Gaussian Elimination Method.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
(a) and (b) do not seem to fit this kind of problem.
y, Harry
x, Hermione
r, Ron
system%28y=r%2F3%2Cy=x-8%2Cy=8%29

Substitute for y.
system%288=r%2F3%2C8=x-8%29
system%28r=24%2Cx=16%29;

Sum of their ages:
8%2B16%2B24
highlight%2848%29