SOLUTION: randy is three times as old as his brother ben how old is each if six years ago the sum of their ages is the same as randy's present age

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Question 1062714: randy is three times as old as his brother ben how old is each if six years ago the sum of their ages is the same as randy's present age
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Randy is three times as old as his brother Ben
R = 3B.........Eq(1)
six years ago the sum of their ages is the same
as Randy's present age.
R - 6 + B - 6 = 3B........Eq(2)
Replace R in Eq(2) with 3B from Eq(1)
3B - 6 + B - 6 = 3B
Collect like terms
3B - 3B + B = 6 + 6
B = 12
Randy is 36 years old
Brother is 12 years old.
Hope this helps :-)