SOLUTION: the ratio of a boys age to a father's age is 1:4. in four years time the ratio of their ages will be 1:3. how old is the boy

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Question 617055: the ratio of a boys age to a father's age is 1:4. in four years time the ratio of their ages will be 1:3. how old is the boy
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
the ratio of a boys age to a father's age is 1:4.
in four years time the ratio of their ages will be 1:3. how old is the boy
:
Let x = the multiplier
then
1x = boy's present age
4x = Dad's present age
:
"in four years time the ratio of their ages will be 1:3."
%28x%2B4%29%2F%284x%2B4%29 = 1%2F3
Cross multiply
4x+4 = 3(x+4)
4x + 4 = 3x + 12
4x - 3x = 12 - 4
x = 8 is the multiplier, and the age of the boy (1x)
:
Check this out, Dad is 32
in four years:
12/36 = 1/3