SOLUTION: In 4 years from now, Anna will be 2/3 of Mike's present age. In 11 years from now, Mike will be double Camilla's present age. 19 years ago, Anna was half as old as Camilla. How old
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Question 399469: In 4 years from now, Anna will be 2/3 of Mike's present age. In 11 years from now, Mike will be double Camilla's present age. 19 years ago, Anna was half as old as Camilla. How old are they now? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! let a = Anna's present age
let m = Mike's
let c = Camilla's
:
Write an equation for each statement, simplify into standard form:
:
"In 4 years from now, Anna will be 2/3 of Mike's present age."
a + 4 = m
Multiply by 3 to get rid of the fraction
3(a+4) = 2m
3a + 12 = 2m
3a - 2m = -12
:
"In 11 years from now, Mike will be double Camilla's present age."
m + 11 = 2c
m - 2c = -11
:
"19 years ago, Anna was half as old as Camilla."
a - 19 = (c-19)
multiply by 2
2(a-19) = c - 19
2a - 38 = c - 19
2a - c = -19 + 38
2a - c = 19
:
See what we can do with these three equations:
3a - 2m + 0c = -12
0a + 1m - 2c = -11
2a + 0m - 1c = 19
:
Using the matrix feature in my Ti83, I got
a = 22 is Anna's age
m = 39 is Mike's age
c = 25 is Camilla's age
