SOLUTION: Rita is twice as old as her cousin Lenny, who is 4 years older than their cousin Tony. The sum of all three of their ages is 72. How old is Rita?

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Question 271627: Rita is twice as old as her cousin Lenny, who is 4 years older than their cousin Tony. The sum of all three of their ages is 72. How old is Rita?
Answer by mananth(16946) About Me  (Show Source):
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Rita is twice as old as her cousin Lenny, who is 4 years older than their cousin Tony.
The sum of all three of their ages is 72. How old is Rita?
Let Tony's age x
lenny's age will be x+4
rita'a age will be 2(x+4)
the sum of their ages = 72
x +x+4 +2(x+4) =72
x+x+4 + 2x +8 =72
4x+12=72
4x=72-12
4x=60
x=15 which is Tony's age
Lenny's age will be 15+4 = 19 years
Rita's age = 2*(15+4)= 38 years