Question 22774
First define the things you are asked for:


Let Bill be x years NOW
Let Dan be y years NOW.


so, we know x = 2y --eqn1


Also, in 7 years time, Bill will be x+7 and Dan will be y+7. At this point, (x+7) = (3/2)(y+7) --eqn2


eqn2 simplifies to 2x+14 = 3y+21
--> 2x - 3y = 7


Now, from eqn1, x = 2y, so sub this into the above version of eqn2, which becomes: 2(2y) - 3y = 7, which becomes


4y - 3y = 7
y = 7


Hence x=2(7) --> x=14


So, Bill is 14 years old now.


check:
in 7 years, we have ages 14 and 21, where 21 is "one and one-half" as much as 14.


Hope this is clear.


jon.