SOLUTION: jack's dad is 40 years old. Jack is fourteen years old. How old will each of them be when his dad is twice as old as jack?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: jack's dad is 40 years old. Jack is fourteen years old. How old will each of them be when his dad is twice as old as jack?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 451778: jack's dad is 40 years old. Jack is fourteen years old. How old will each of them be when his dad is twice as old as jack?
Found 2 solutions by stanbon, pedjajov:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
jack's dad is 40 years old. Jack is fourteen years old. How old will each of them be when his dad is twice as old as jack?
-------
Equations:
D = 40
J = 14
---
Solve for "x"
(D+x) = 2(J+x)
(40+x) = 2(14+x)
40+x = 28+2x
x = 12 years
------
Dad will be 52
Jack will be 26
================
Cheers,
Stan H.

Answer by pedjajov(51) About Me  (Show Source):
You can put this solution on YOUR website!
After x years Jack's age is going to be 14+x and his dad's 40+x.

Dad's age should be twice of Jack's so

40%2Bx=2%2814%2Bx%29 , multiply
40%2Bx=28%2B2x , subtract 28 on the both sides
12%2Bx=2x , subtract x on both sides
12=x

Check:
After 12 years Jack will be 14+12 = 26

Dad is going to be 40+12 = 52 which is twice 26.