SOLUTION: Solve this problem and write an equation. You may do this any order. Alicia's brother is one third as old as alicia. Alicia's mother is five years more than twice Alicia's age. If

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Question 974170: Solve this problem and write an equation. You may do this any order. Alicia's brother is one third as old as alicia. Alicia's mother is five years more than twice Alicia's age. If the sum of their age is 45, find Alicia's age
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let a = Alicia's age
let b = brother's age
let m = Mom's age
:
Write an equation for each statement;
:
Alicia's brother is one third as old as alicia.
b = 1%2F3a
:
Alicia's mother is five years more than twice Alicia's age.
m = 2a + 5
:
If the sum of their age is 45,
a + b + m = 45
Replace b with 1%2F3a. replace m with (2a+5)
a + 1%2F3a + (2a+5) = 45
multiply equation by 3, get rid of the fraction
3a + a + 3(2a+5) = 3(45)
3a + a + 6a + 15 = 135
10a = 135 - 15
10a = 120
a = 120/10
a = 12 yrs is Alicia's age
:
:
Check this by finding the ages of b and m
b = 1%2F3(12)
b = 4
and
m = 2(12) + 5
m = 29
Find the sum with these values
12 + 4 + 29 = 45