SOLUTION: if the avg age of man and his twin sons born on the same day is 30 yr. ratio of the ages of father to one of his sons is 5:2. Whay is fathers age

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Question 873206: if the avg age of man and his twin sons born on the same day is 30 yr. ratio of the ages of father to one of his sons is 5:2. Whay is fathers age
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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the avg age of man and his twin sons born on the same day is 30 yr.
ratio of the ages of father to one of his sons is 5:2
. What is fathers age
:
Let f = father's age
Let s = son's age
:
Write an equation for each statement:
:
"the avg age of man and his twin sons born on the same day is 30 yr."
%28f%2B2s%29%2F3+ = 30
multiply both sides by 3
f + 2s = 90
f = (90-2s); use this form for substitution
:
ratio of the ages of father to one of his sons is 5:2.
f%2Fs = 5%2F2
cross multiply
5s = 2f
Replace f with (90-2s)
5s = 2(90-2s)
5s = 180 - 4s
5s + 4s = 180
9s = 180
s = 180/9
s = 20 yrs is the age of the twins now
then
90 - 2(40) = 50 yrs is the father's age now
:
:
you can check these solutions in both statements.