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

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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) About Me  (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 = 1%2F3n
to add them all is equal to 90.
r + n + v = 90
what is nick's age?
Replace r with 2n, replace v with 1%2F3n
2n + n + 1%2F3n = 90
3n + 1%2F3n = 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
1%2F3*27 = 9 yrs is Vicks age
54 + 27 + 9 = 90