SOLUTION: the present age of boy is one sixth the age of his father.5yrs later sum of their ages will be 45 yrs.find their present ages

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Question 624147: the present age of boy is one sixth the age of his father.5yrs later sum of their ages will be 45 yrs.find their present ages
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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the present age of boy is one sixth the age of his father.
5yrs later sum of their ages will be 45 yrs.
find their present ages
:
let f = father's present age
let b = boys present age
:
Write an equation for each statement
;
"the present age of boy is one sixth the age of his father."
b = 1%2F6f
or
f = 6b
:
5yrs later sum of their ages will be 45 yrs.
(f+5) + (b+5) = 45
f + b + 10 = 45
f + b = 45 - 10
f + b = 35
replace f with 6b
6b + b = 35
7b = 35
b = 35/7
b = 5 yrs is the boy
then
6(5) = 30 yrs is father