SOLUTION: Ike and his monkey's ages total 100 years. Ike is 3 times as old as his monkey was when Ike was 10 years older than his monkey is now. What is Ikes age? What is the monkeys age?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Ike and his monkey's ages total 100 years. Ike is 3 times as old as his monkey was when Ike was 10 years older than his monkey is now. What is Ikes age? What is the monkeys age?      Log On


   

Question 434164: Ike and his monkey's ages total 100 years. Ike is 3 times as old as his monkey was when Ike was 10 years older than his monkey is now. What is Ikes age? What is the monkeys age?
Answer by lwsshak3(11628) About Me  (Show Source):
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Ike and his monkey's ages total 100 years. Ike is 3 times as old as his monkey was when Ike was 10 years older than his monkey is now. What is Ikes age? What is the monkeys age?
..
let x- Ike's age now
100-x = monkey's age now
monkey's age 10 years from now=100-x+10=110-x
x=3(110-x)
x=330-3x
4x=330
x=330/4=82.5 years
100-x=17.5 years
ans:
Ike's age=82.5 years
Monkey's age=17.5 years