SOLUTION: Tony is half as old as Ric,Pete is 4 years younger than Ric and Don is 3 times as old as Tony. The sum of the ages of Tony and Ric 5 years hence is equal to the sum of the ages of

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Question 132272: Tony is half as old as Ric,Pete is 4 years younger than Ric and Don is 3 times as old as Tony. The sum of the ages of Tony and Ric 5 years hence is equal to the sum of the ages of Don and Pete 3 years ago. Find their present ages.
Answer by josmiceli(6784) About Me  (Show Source):
You can put this solution on YOUR website!
t = Tony's age now
r = Ric's age now
p = Pete's age now
d = Don's age now
(1) t+=+%281%2F2%29%2Ar
(2) p+=+r+-+4
(3) d+=+3%2At
%28t+%2B+5%29+%2B+%28r+%2B+5%29+=+%28d+-+3%29+%2B+%28p+-+3%29
(4) t+%2B+r+%2B+10+=+d+%2B+p+-+6
----------------------------
(2) p+=+r+-+4
r+-+p+=+4
(4) t+%2B+r+%2B+10+=+d+%2B+p+-+6
r+-+p+=+d+-+t+-+16
r+-+p+=+4
Subtract these
d+-+t+-+16+=+4
d+-+t+=+20
----------------
(3) d+=+3%2At
3t+-+t+=+20
2t+=+20
t+=+10
d+=+30
----------------
(1) t+=+%281%2F2%29%2Ar
10+=+%281%2F2%29%2Ar
r+=+20
----------------
(2) p+=+r+-+4
p+=+20+-+4
p+=+16
----------------
Tony is 10, Ric is 20, pete is 16, Don is 30
check answer:
(4) t+%2B+r+%2B+10+=+d+%2B+p+-+6
10+%2B+20+%2B+10+=+30+%2B+16+-+6
40+=+40
----------------
(1) t+=+%281%2F2%29%2Ar
10+=+%281%2F2%29%2A20
10+=+10
----------------
(2) p+=+r+-+4
16+=+20+-+4
16+=+16
----------------
(3) d+=+3%2At
30+=+3%2A10
30+=+30
OK