SOLUTION: Anna's age is twice that of David's and half that of Preeya's. The total of all their ages is 21. How old is Preeya?

Algebra.Com
Question 936009: Anna's age is twice that of David's and half that of Preeya's. The total of all their ages is 21. How old is Preeya?

Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
x = anna age
y = david age
z = preeya age
---
x + y + z = 21
x = 2y
z = 2x
---
put the system of linear equations into standard form
---
x + y + z = 21
x - 2y = 0
2x - z = 0
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = anna age = 6
y = david age = 3
z = preeya age = 12
---
Free algebra tutoring live chat:
https://sooeet.com/chat.php?gn=algebra
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations with quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---

RELATED QUESTIONS

The ages of Sean and Bryan now total 49 years. Bryan’s age now is twice the age that... (answered by ankor@dixie-net.com)
If David’s brother is 3 years older, and the sum of their ages is 17, how old is... (answered by indra89811)
Kristen is 4 times Claire’s age. Emily is 6 times older than Claire and 6 years younger (answered by Alan3354,josgarithmetic)
lindiwe is twice as old as preeya and six years older than sue.their combined ages total... (answered by checkley79)
Anna is half of Bills age. The sum of their ages is 36. How old are Anna and Bill (answered by greenestamps)
In the year 2021, Dylan is four years older than his sister Anna, Anna is four times as... (answered by mananth)
Bobby is three years older than twice Arianna’s age. If the total of their ages is 9, how (answered by Nigelyul)
The sum of James’ age and David’s age is 34. Five years ago, the sum of twice James’ age... (answered by josgarithmetic,ikleyn)
Andrew has two children, David and Helen. The sum of their three ages is 49. David’s age... (answered by josgarithmetic,Theo,MathTherapy)