SOLUTION: Adding two years to the age of a boy would make him a quartet of his father's age. Five years ago his father was one year less than ten times his son's age. Determine the age of th

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Question 312394: Adding two years to the age of a boy would make him a quartet of his father's age. Five years ago his father was one year less than ten times his son's age. Determine the age of the boy and his father
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
We have a system of equations in two variables expressed as an age question.
Let: b = boy's age now
Let f = father's age now
first sentence and equation:
b + 2 = f/4, f = 4b + 8 eq.1
2nd sentence and equation:
5 yrs ago, their ages were:
For the boy : b - 5
for the father: f - 5
f - 5 = 10 (b-5) - 1
simplifying
f = 10 b - 46 eq.2
Equate equations 1 and 2
4b + 8 = 10b - 46
b = 9 yrs. old
The boy is 9 years old.
f = 4(9) + 8
f = 44 yrs.old
The father is 44 years old.
Understand?