Hi

Alex is 6 years older than Sara

Let x and (x+6) represent the ages of Sara and Alex NOW respectively

Question states*** 16 years ago...

 (x+6) - 16 = 3/2(x-16)

solving for x

    x - 10 = 1.5x - 24

       14 = .5x

       14/.5 = x

         x = 28, Sara's age NOW.  Alex is 34 NOW.   (28 + 6)



CHECKING our Answer***

 18 = 1.5 * 12 = 18 

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
 Alex is 6 years older than Sara. Sixteen years ago, Alex was 1 1/2 times as old as Sara. How old are they now?

---------

Equations:

a = s+6

(a-16) = (3/2)(s-16)

-----

Substitute for "a" and solve for "s":

(s+6-16) = (3/2)(s-16)

2(s-10) = 3s-48

2s-20 = 3s-48

s = 28 (Sara's age now)

----------------------

Solve for "a":

a = s+6

a = 28+6

a = 34 (Alex's age now)

============================

cheers,

Stan H.







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