SOLUTION: Bill is twice as old as his brother Dan. In 7 years, Bill will be only one and one-half times as old as Dan. How old is Bill now?

Question 215426: Bill is twice as old as his brother Dan. In 7 years, Bill will be only one and one-half times as old as Dan. How old is Bill now?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Bill is twice as old as his brother Dan. In 7 years, Bill will be only one and one-half times as old as Dan. How old is Bill now?
----------------------
Let Bill's age NOW be "B".
Let Dan's age NOW be "D".
---
Equations:
B = 2D
(B+7)= (3/2)(D+7)
-------------------------
Substitute for B and solve for "D":
(2D+7) = (3/2)(D+7)
Multiply both sides by 2 to get:
4D+14 = 3D + 21
D = 7 (Dan's age NOW)
---
Since B = 2D, B = 14 (Bill's age NOW)
=========================================
Cheers,
Stan H.
RELATED QUESTIONS
I am a parent trying to help my son figure out how to solve the following: Bill is... (answered by longjonsilver)

Dan is 3 times as old as mo, and in 6 years he will be twice as old. How old are Dan and... (answered by macston)

Bill is 3 times as old as Nancy. In 12 years Bill will be twice as old as Nancy.... (answered by stanbon)

RAM , six years old, is twice as old as his brother. How old will RAM be when he is one (answered by checkley79)

Dan is 5 times as old as mike. in 7 years dan will be 2 more than 3 times as old as mike. (answered by ankor@dixie-net.com)

If Dan is 14 and his dad is 37 how many years will it be until his dad is twice as old as (answered by College Student)

James is five times as old as Bill. In two years, he'll be three times as old, and in six (answered by stanbon)

jenny is 3 times as old as her little sister, but only half as old as her brother. in... (answered by lwsshak3)

Beth is twice as old as her brother and half as old as her father. in 22 years, her... (answered by richwmiller)