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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]  24 Jul 2008, 14:46
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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...
Intern
Joined: 30 Jul 2007
Posts: 35
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Kudos [?]: 2 [0], given: 0

Re: DS Age problem [#permalink]  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]  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
Thus C.
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Re: DS Age problem [#permalink]  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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