SOLUTION: Pam is 14 and her dad is 37. In how many years will Pam's dad be twice as old as she will be?

Algebra ->  Equations -> SOLUTION: Pam is 14 and her dad is 37. In how many years will Pam's dad be twice as old as she will be?      Log On


   



Question 20576: Pam is 14 and her dad is 37. In how many years will Pam's dad be twice as old as she will be?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number of years hence: In x years' time, Dad's age (37) + x = Twice Pamela's age (2(14+x)). Let's write the equation to solve for x.
37+%2B+x+=+2%2814+%2B+x%29 Simplify and solve for x.
37+%2B+x+=+28+%2B+2x Subtract x from both sides of the equation.
37+=+28+%2B+x Subtract 28 from both sides.
9+=+x
In 9 years,Pamela's dad will be twice Pamela's age then.
Check:
37 + 9 = 2(14 + 9)
46 = 2(23)
46 = 46