SOLUTION: Grace is 4years old when john is 1 years old. In how many years time will the ratio of Graces age to Johns age be 4:5?

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Question 919634: Grace is 4years old when john is 1 years old. In how many years time will the ratio of Graces age to Johns age be 4:5?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Grace is 4years old when john is 1 years old.
In how many years time will the ratio of Graces age to Johns age be 4:5?
:
the way this is written is impossible, perhaps you meant
" Grace is 4years old when john is 1 years old. In how many years time will the ratio of Graces age to Johns age be 5:4?:
:
let y = no. years for this to be true
:
%28y%2B4%29%2F%28y%2B1%29 = 5%2F4
Cross multiply
5(y+1) = 4(y+4)
5y + 5 = 4y + 16
5y - 4y = 16 - 5
y = 11 years
:
:
See if this is true in 11 yrs:
Grace will be 15 yrs old
John will be 12 yrs old
:
15/12 reduces to 5/4