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
Algebra.Com
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
RELATED QUESTIONS
I need not only answer,but solution too:
In 4 years from now Anna will be 2/3 (two... (answered by josmiceli)
In five years, Mike will be twice as old as Andy. The sum of their present age is 80. How (answered by Alan3354)
The sum of the ages of Mike and Dan is 20 years. In four years, Dan’s age will be 3/4... (answered by Alan3354)
Mike is now 40 years older than his son. In 10 years, he will be twice as old as his son. (answered by Alan3354)
Anna is 24 years older than Jordan . In 4 years , Anna will be double Jordan’s age. How (answered by greenestamps)
16 years from now, Martha’s age will be twice her age 12 years ago. Find her present... (answered by Alan3354)
16 years from now, Paula’s age will be twice her age 12 years ago. Find her present... (answered by mananth)
In two years, Mike's grandmother will be five times as old as Mike will be then. If the... (answered by Theo,Alan3354,josgarithmetic)
At present Allen is 10 years younger than Scott. Ten years from now, Scott’s age will be... (answered by addingup,ikleyn)