SOLUTION: A father's age is the sum of the ages of his three sons. If the ratio of the ages of the sons is 1:2:3 and eight years later the differene between ages of the father and the younge

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A father's age is the sum of the ages of his three sons. If the ratio of the ages of the sons is 1:2:3 and eight years later the differene between ages of the father and the younge      Log On


   

Question 1114832: A father's age is the sum of the ages of his three sons. If the ratio of the ages of the sons is 1:2:3 and eight years later the differene between ages of the father and the youngest sun is 35 year, what is the current age of the eldest son?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y, father's current age

x%2B2x%2B3x=y
6x=y


Eight years later or now, same difference of age between youngest son and father. Same 35 year difference.

y-x=35


You can solve the system, system%286x=y%2Cy-x=35%29.
Eldest son is 3x.

-
6x-x=35
5x=35
highlight%28x=7%29-------youngest son
-
highlight%2821%29--------oldest son