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500 ps test 8 # 16

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by dunkin77 » Sat Apr 07, 2007 7:16 pm
Hi,

My answer was D) but the correct answer is C) - can anyone please explain??

. Today Al is 3 times as old as Pat, In 13 years, Al will be one year less than twice as old as Pat will be then. How many years old is Al today?
(A) 12
(B) 33
(C) 36
(D) 42
(E) 49
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by jayhawk2001 » Sat Apr 07, 2007 10:16 pm
We have 2 equations

A = 3P

A+13 = 2(P+13) - 1
3P+13 = 2P + 26 - 1
P = 12

So, A = 36
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by Cybermusings » Sun Apr 08, 2007 3:05 am
x = 3y

x - 3y = 0 ------ (1)

x + 13 = 2(y + 13) - 1

x + 13 = 2y + 26 - 1

x + 13 = 2y + 25

x - 2y = 12 ------- (2)

x - 3y = 0
x - 2y = 12

-y = -12
Therefore y = 12
So AI = 12*3 = 36
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