What is WalterÂ’s age now?
(1) WalterÂ’s brother Zachary is now twice as old as Walter was
exactly fiÂ…ve years ago.
(2) The positive difference between WalterÂ’s and ZacharyÂ’s
ages is less than three.
[spoiler]OA:E
Some how not convinced with OA as it can be solved using both the equations.
1)z=2(w-5)
also known w>z
2) |w-z|<3
i.e w-z=1 or w-z=2 or w-z=0 (only taking 3 possibilities since we already know w>z)
by taking w-z=1, we know w=9 , z=8 which satisfies equation 1
So I feel it should be C. Any inputs to correct me if I'm wrong would be great.
[/spoiler]
DS- Walter Zachary age problem
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YOu were right till the end. Why did u leave out w-z=2??anticipation wrote:What is WalterÂ’s age now?
(1) WalterÂ’s brother Zachary is now twice as old as Walter was
exactly fiÂ…ve years ago.
(2) The positive difference between WalterÂ’s and ZacharyÂ’s
ages is less than three.
[spoiler]OA:E
Some how not convinced with OA as it can be solved using both the equations.
1)z=2(w-5)
also known w>z
2) |w-z|<3
i.e w-z=1 or w-z=2 or w-z=0 (only taking 3 possibilities since we already know w>z)
by taking w-z=1, we know w=9 , z=8 which satisfies equation 1
So I feel it should be C. Any inputs to correct me if I'm wrong would be great.
[/spoiler]
w-z cannot be 0 if w>z
Hence w-z can be either 1 or 2. [Assuming only integer ages are possible. I am not sure of it]
Even in case of integer ages, w-z=1 or w-z=2
when w-z =1, w=9,z=8 is possible
when w-z=2, w=8, z=6 is possible.
2 idfferent values for W.
hence INSUFF
pick E.
Hope this helps!!
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don't be afraid of failure and don't abandon it.
People who work sincerely are the happiest."
Chanakya quotes (Indian politician, strategist and writer, 350 BC-275BC)
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Just in case you wanted to see it alebraically; z=zachary w=walter
1) z=2(w-5)
We don't know z or w, so (1) is insufficient.
2) w-z<3
We don't know z or w, so (2) is insufficient.
(1) and (2), tell us;
w-[2(5-w)]<3
w-(10-2w)<3
w-10+2w<3
3w<13
w<(13/3)
Thus, 0<w<13/3, we cannot say for sure hold old Walter is. Thus E, none together or alone is sufficient.
Hope this helps.
THanks,
Jared
1) z=2(w-5)
We don't know z or w, so (1) is insufficient.
2) w-z<3
We don't know z or w, so (2) is insufficient.
(1) and (2), tell us;
w-[2(5-w)]<3
w-(10-2w)<3
w-10+2w<3
3w<13
w<(13/3)
Thus, 0<w<13/3, we cannot say for sure hold old Walter is. Thus E, none together or alone is sufficient.
Hope this helps.
THanks,
Jared