SOLUTION: rick's age is twice as nick's age and nick's age is trice of vic. to add them all is equal to 90. what is nick's age? thnx

Question 978356: rick's age is twice as nick's age and nick's age is trice of vic. to add them all is equal to 90. what is nick's age? thnx
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let r = Rick's age
let n = Nick's age
let v = Vick's age
:
Write an equation for each statement
:
rick's age is twice as nick's age
r = 2n
and nick's age is trice of vic.
n = 3v
divide both sides by 3 and you have: (we want v in terms of n also)
v = n
to add them all is equal to 90.
r + n + v = 90
what is nick's age?
Replace r with 2n, replace v with n
2n + n + n = 90
3n + n = 90
get rid of the fraction, mult equation by 3, cancel the fraction
9n + n = 3(90)
10n = 270
n = 270/10
n = 27 yrs is Nick's age
:
:
Check this by finding the ages of the other two
2(27) = 54 is Rick's age
*27 = 9 yrs is Vicks age
54 + 27 + 9 = 90
RELATED QUESTIONS
1/3 of Murka�s age is twice as much as Ivan�s age. What is the ratio of Murka�s age to... (answered by ikleyn,MathTherapy)

I'm such a dunce with Math that I'm not even sure if my question is an equation. I have... (answered by Fermat,Paul,atif.muhammad)

Nick and Jonas are comparing their ages. Jonas is 4 less than three times nicks age. if... (answered by MathLover1,josgarithmetic)

The sum of Elliot�s age and twice Zane�s age is 44. The difference of twice Elliot�s age... (answered by Aldorozos)

Dave is half older than his mom, his mom is five years older than Dave. Dave 's age ,his... (answered by ikleyn)

At the present time nick is one-third as old as Karl. In 12 years, Karl's age will be six (answered by stanbon,advanced_Learner)

Paul's age is three years older than Ruth's age. If Emma's age is twice that of Paul's... (answered by ankor@dixie-net.com,greenestamps,josgarithmetic,MathTherapy)

q's age is 80% of R's age. five years from now Q's age will be 90% of R's age. how old is (answered by CubeyThePenguin)

julia's age is 3 more than kris's age.let x=julia's age and y=kris's... (answered by ewatrrr)