SOLUTION: The ages of Sean and Bryan now total 49 years. Bryan’s age now is twice the age
that Sean’s was when Bryan’s age was the same as Sean’s is now. How many
years old is Bryan?
Algebra.Com
Question 252537: The ages of Sean and Bryan now total 49 years. Bryan’s age now is twice the age
that Sean’s was when Bryan’s age was the same as Sean’s is now. How many
years old is Bryan?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The ages of Sean and Bryan now total 49 years.
Bryan’s age now is twice the age that Sean’s was when Bryan’s age was the same as Sean’s is now.
How many years old is Bryan?
:
Write an equation for each statement:
:
"The ages of Sean and Bryan now total 49 years."
s + b = 49
s = (49-b)
:
"Bryan’s age now is twice the age that Sean’s was when Bryan’s age was the same as Sean’s is now."
b = 2(s - (b - s))
b = 2(s + s - b)
b = 2(2s - b)
b = 4s - 2b
b + 2b = 4s
3b = 4s
Substitute (49-b) for s
3b = 4(49-b)
3b = 196 - 4b
3b + 4b = 196
7b = 196
b =
b = 28 yrs is Bryan's age
then
49 - 28 = 21 yrs is Sean's age
:
Let see if that works in the statement:
There is a 7 yr difference in their ages
"Bryan’s age now is twice the age that Sean’s was when Bryan’s age was the same as Sean’s is now."
28 = 2(21 - 7)
28 = 2(14)
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