SOLUTION: Here is a question I need some help to answer to “two years ago I was three times older than my brother. In three years I will be twice older than my brother”. How old is my young

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Question 891683: Here is a question I need some help to answer to
“two years ago I was three times older than my brother. In three years I will be twice older than my brother”. How old is my younger brother?
Thanks in advance
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let L = the older brother's present age
Y = the younger brother's present age
"two years ago I was three times older than my brother" <==> L - 2 = 3(Y - 2), and
"In three years I will be twice older than my brother" <==> L + 3 = 2(Y + 3).
the first equation is equivalent to L - 3Y = -4, while the
second equation is equivalent to L - 2Y = 3.
Solving this system gives Y = 7.
Thus, the younger brother is 7 years old.