SOLUTION: Suzy is 12 years old, which is 1.5 times her brother's age, and 25 less than her mother's age.

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Suzy is 12 years old, which is 1.5 times her brother's age, and 25 less than her mother's age.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1176753: Suzy is 12 years old, which is 1.5 times her brother's age, and 25 less than her mother's age.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
s = suzy's age
b = her brother's age
m = her mother's age.

equations are:

s = 1.5 * b
s = m - 25

since s = 12, the equations become:

12 = 1.5 * b
12 = m - 25

solve for b in the first equation to get:

b = 12 / 1.5 = 8

solve for m in the second equation get:

m = 12 + 25 = 37

her brother is 8.
her mother is 37.

those are your answers.