SOLUTION: A girl is 6 years younger than her brother. The product of their ages is 135. Find their ages

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A girl is 6 years younger than her brother. The product of their ages is 135. Find their ages      Log On


   

Question 1100427: A girl is 6 years younger than her brother. The product of their ages is 135. Find their ages
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
G=B-6
G%2AB=135
Substituting,
%28B-6%29B=135
B%5E2-6B=135
B%5E2-6B%2B9=135%2B9
%28B-3%29%5E2=144
B-3=0+%2B-+12
Only positive solutions make sense here.
B=3%2B12
B=15
Use either of the equations to solve for G.