SOLUTION: Derek is four times as old as his brother.Five years ago,the sum of their ages was equal to derek's present age,How old is derek and his brother"

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Question 666033: Derek is four times as old as his brother.Five years ago,the sum of their ages was equal to derek's present age,How old is derek and his brother"
Found 2 solutions by josmiceli, bloggauta:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Derek's age now
Let +b+ = Brother's age now
------------
given:
(1) +a+=+4b+
(2) +a+-+5+%2B+b+-+5+=+a+
----------------------
(2) +b+-+10+=+0+
(2) +b+=+10+
and
(1) +a+=+4%2A10+
(1) +a+=+40+
Derek is 40 and his Brother is 10

Answer by bloggauta(8) About Me  (Show Source):
You can put this solution on YOUR website!
"Derek is four times as old as his brother" → D= 4B
"Five years ago,the sum of their ages was equal to derek's present age" → (D-5)+(B-5)=D
► B= 10 then D= 40
Derek is 40 years old and his brother is 5 years old