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?
:
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 = {{{196/7}}}
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)