SOLUTION: Alan is six years older than Karen. The product of Allan's age three years from now and Karen's age three years ago is 324 years. find their present ages.
Algebra ->
Customizable Word Problem Solvers
-> Misc
-> SOLUTION: Alan is six years older than Karen. The product of Allan's age three years from now and Karen's age three years ago is 324 years. find their present ages.
Log On
Question 889984: Alan is six years older than Karen. The product of Allan's age three years from now and Karen's age three years ago is 324 years. find their present ages. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Alan is six years older than Karen. The product of Allan's age three years from now and Karen's age three years ago is 324 years. find their present ages.
-----------------
Equations:
a = k + 6
(a+6)(k-3) = 324
---------
Substitute for "a" and solve for "k"::
(k+12)(k-3) = 324
k^2 + 9k - 360 = 0
------------------------
k= 15 (Karen's age now)
a = k+6 = 21 (Allan's age now)
==================
Cheers,
Stan H.
==================
(