SOLUTION: Brittany is 5 times older than her brother, Ricky. If in 6 years time, Ricky's age will be three sevenths of Brittany's age, how old will Ricky be when Brittany is 60?

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Question 878561: Brittany is 5 times older than her brother, Ricky. If in 6 years time, Ricky's age will be three sevenths of Brittany's age, how old will Ricky be when Brittany is 60?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Present: b=5r
Six Years Future: r%2B6=%283%2F7%29%28b%2B6%29

Solve: 7%28r%2B6%29=3%28b%2B6%29
7r%2B42=3b%2B18
7r-3b=18-42
7r-3b=-14
3b-7r=14
Substitute.
3%2A5r-7r=14
8r=14
r=14%2F8, not a whole number for Ricky.
r=7%2F4.
-
b=5%287%2F4%29
b=35%2F4, also not a whole number.

Brittany's age present plus y years, will be 60 years.
What is y?
35%2F4%2By=60
y=60-35%2F4
y=240%2F4-35%2F4
y=205%2F4
-
What will be Ricky's age at that time?
r%2B205%2F4=7%2F4%2B205%2F4
212%2F4=53
Ricky to be 53 years old when Brittany is 60 years old.