SOLUTION: Jill is 10 years younger than Brian. In 5 years, Jill will be two-thirds of Brian's age. how old will Jill be seven years from now?
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Question 1026666: Jill is 10 years younger than Brian. In 5 years, Jill will be two-thirds of Brian's age. how old will Jill be seven years from now?
Found 2 solutions by ankor@dixie-net.com, josmiceli:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Jill is 10 years younger than Brian.
j = b - 10
:
In 5 years, Jill will be two-thirds of Brian's age.
j + 5 = (b+5)
get rid of the fraction, multiply both sides by 3
3(j+5) = 2(b+5)
3j + 15 = 2b + 10
3j = 2b + 10 - 15
3j = 2b - 5
Replace j with (b-10) from the first statement
3(b-10) = 2b - 5
3b - 30 = 2b - 5
3b - 2b = -5 + 30
b = 25 yrs is Brian's age
then
j = 25 - 10
j = 15 yrs is Jill's age
:
how old will Jill be seven years from now?
I'll let you figure this out
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Jill's age now
Let = Brian's age now
--------------------------
(1)
(2)
---------------------------
Multiply both sides of (2) by
(2)
(2)
(2)
and
(1)
--------------------
Multiply both sides of (1) by
and subtract (2) from (1)
(1)
(2)
--------------------
and
(1)
(1)
(1)
---------------
--------------------
In 7 yrs, Jill will be 22
--------------------
check answer:
(2)
(2)
(2)
(2)
(2)
and
(1)
(1)
(1)
OK
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