SOLUTION: john is twice jane’s age. in 2 year’s time, john will be twice as old as jill and she will be twice as old as jane’s age 2 years ago. how old are john, jill and jane?
Algebra.Com
Question 921649: john is twice jane’s age. in 2 year’s time, john will be twice as old as jill and she will be twice as old as jane’s age 2 years ago. how old are john, jill and jane?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = John's age now
Let = Jill's age now
Let = Jane's age now
---------------------------
(1)
(2)
(3)
-------------------------
(2)
(2)
and
(3)
(3)
---------------------
(1)
Substitute (1) into (3)
(3)
(3)
(3)
Subtract (2) from (3)
(3)
(2)
---------------------
and
(3)
(3)
(3)
and
(1)
(1)
---------------
John is 10
Jill is a 4
Jane is 5
-----------
check:
John is twice Jane's age -OK
In 2 year’s time, john will be twice as old as jill
True- John will be 12 and Jill will be 6
Jill will be twice as old as jane’s age 2 years ago
True- Jane was 3 and Jill will be 6
OK
RELATED QUESTIONS
john is twice jane's age. In 2 years time, john will be twice as old as Jill and she will (answered by lwsshak3,MathTherapy)
In four years, John's age will be the same as Peter's age now. In two years, Peter's age... (answered by ikleyn,josgarithmetic)
John is twice as old as Peter. In 8 years, John’s age will be 2 more than the sum of... (answered by Edwin McCravy)
John is four times as old as peter this year.10 years later,john 's age will be double... (answered by josgarithmetic)
Two years ago, John was 3 times as old as Bob. In 5 years time, John will be twice as old (answered by stanbon,macston)
Mary is twice as old as John and half as old as Bob.in 22 years time, Bob will be twice... (answered by rwm,mananth)
Mary is three times as old as Jill. In five years, she will be twice as old as Jill. Find (answered by Alan3354,ikleyn)
mary is twice as old as john and half as old as bob.in 2 years times,bob will be twice as (answered by ankor@dixie-net.com)
Jane is 3 times as old as Peter is now but in 10 years time, she will only be twice... (answered by josgarithmetic)