SOLUTION: The average age of rolfe and jam gives the age of kyle. 3 years ago, the sum of ages of rolfe, jam and kyle was 66. 5 years from now. kyle will be as old as jam now. What are their

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Question 737981: The average age of rolfe and jam gives the age of kyle. 3 years ago, the sum of ages of rolfe, jam and kyle was 66. 5 years from now. kyle will be as old as jam now. What are their present ages?
Please solve this problem for my daughter.. thank you so much :D
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation for each statement:
:
"The average age of rolfe and jam gives the age of kyle."
k = %28r%2Bj%29%2F2
mult both sides by 2
2k = r + j
:
" 3 years ago, the sum of ages of rolfe, jam and kyle was 66."
(r-3) + (j-3) + (k-3) = 66
r + j + k - 9 = 66
r + j + k = 66+9
r + j + k = 75
From the 1st statement, replace r + j with 2k
2k + k = 75
3k = 75
k = 75/3
k = 25 yrs is Kyle's age
:
" 5 years from now. kyle will be as old as jam now."
k + 5 = j
replace k with 25
25 + 5 = j
j = 30 yrs is Jam's age
:
Find r's age using the 1st statement
2k = r + j
2(25) = r + 30
50 - 30 = r
r = 20 yrs is Rolf's age
:
What are their present ages? we answered that.