SOLUTION: Mike is 6 years younger than Cassie. Twelve years ago, CCassie was twice as old as Mike was. How old is each now? Also, Shalane is 14 and her grandmother is 54. How many years a

Question 415589: Mike is 6 years younger than Cassie. Twelve years ago, CCassie was twice as old as Mike was. How old is each now?
Also, Shalane is 14 and her grandmother is 54. How many years ago was her grandmother 6 times as old as Shalane?
If you could just help a bit, that would be great. Thankyou
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Mike is 6 years younger than Cassie.
Twelve years ago, Cassie was twice as old as Mike was. How old is each now?
----
m = c-6
(c-12) = 2(m-12)
---
Substitute for "m" and solve for "c":
c-12 = 2(c-6-12)
c-12 = 2(c-18)
c-12 = 2c-36
c = 24 (Cassie's age now)
m = c-6 = 18 (Mikes age now)
=================================

Also, Shalane is 14 and her grandmother is 54. How many years ago was her grandmother 6 times as old as Shalane?
Shalane = 14
Grandma = 54
----
Equation:
(54-x) = 6(14-x)
54-x = 84 - 6x
5x = 30
x = 6 (# of years ago)
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Cheers,
Stan H.
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