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My friend made this up... How old is Kay? 1. Kay is fifteen

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My friend made this up... How old is Kay? 1. Kay is fifteen [#permalink] New post 24 Jul 2008, 14:46
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My friend made this up...

How old is Kay?
1. Kay is fifteen years older than Michael was two years ago
2. Michael is half as old as Kay was two years ago.

I got C, but I can't seem to calculate how...
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Re: DS Age problem [#permalink] New post 24 Jul 2008, 15:22
NM. Brain fart.

So it's C,

1) k-2 = m + 15
2) m = k/2 -2

so from 2) k = 2m - 4

Combined:

2m -4 -2 = m + 15
m = 15 + 6

m = 21 (15+6)

k = 38 (42-4)

Check:

k -2 = 36
m = 21 + 15 = 36

21 - 2 = 38/2

19 = 19
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Re: DS Age problem [#permalink] New post 25 Jul 2008, 06:58
Simple qns.

Its easy to see that each statement is not sufficient to answer the question.
Thus lets form equations for each statement.

Let the age of Michael be M and that of Kay be K

From 1

K-15= M-2

From 2

K - 2 = 2(M)

Solving for M
Answer M=11
Thus C.
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Re: DS Age problem [#permalink] New post 25 Jul 2008, 13:09
Let the CURRENT ages be M and K resp.
2 yrs ago, M was M-2 yrs. old.
According to St. 1, K today is 15 + (M-2) yrs. old
According to St. 2, M today is 1/2 (what K was 2 yrs. ago) i.e, 1/2{(M-2)+15-2}
M= 1/2(M+11); M=11 yrs. old today. Therefore, K is 11-2 +15= 24 yrs. old.
Ans is C.
Re: DS Age problem   [#permalink] 25 Jul 2008, 13:09
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My friend made this up... How old is Kay? 1. Kay is fifteen

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