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Does s = 5 - t ?

Does \(s = 5 - t\) ? Or: does \(t=5-s\)?

(1) t = 17 - 4s. The question becomes: does \(5-s=17-4s\)? --> does \(s=4\)? We don't know that. Not sufficient.

(2) s = 8 - 4t. The question becomes: does \(5-t=8-4t\)? --> does \(t=1\)? We don't know that. Not sufficient.

(1)+(2) We have two distinct linear equations (t = 17 - 4s and s = 8 - 4t), thus we can solve for both unknowns and answer the question whether \(s = 5 - t\). Sufficient,

Answer: C.

Hope it helps.
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Does s = 5 - t ?

Does \(s = 5 - t\) ? Or: does \(t=5-s\)?

(1) t = 17 - 4s. The question becomes: does \(5-s=17-4s\)? --> does \(s=4\)? We don't know that. Not sufficient.

(2) s = 8 - 4t. The question becomes: does \(5-t=8-4t\)? --> does \(t=1\)? We don't know that. Not sufficient.

(1)+(2) We have two distinct linear equations (t = 17 - 4s and s = 8 - 4t), thus we can solve for both unknowns and answer the question whether \(s = 5 - t\). Sufficient,

Answer: C.

Hope it helps.


bunuel we have question is s+t=5?

statement 1: when u put s=4 in t=17-4s..we will get the t=1

will it not be sufficient??
s=4 and t=1..S+t=5??

as it is same in Statement 2..we can get s and t?

ohh god y my concepts are wandering ..as my exam date is cming near ... m forgeting all concepts..:(
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Bunuel
Does s = 5 - t ?

Does \(s = 5 - t\) ? Or: does \(t=5-s\)?

(1) t = 17 - 4s. The question becomes: does \(5-s=17-4s\)? --> does \(s=4\)? We don't know that. Not sufficient.

(2) s = 8 - 4t. The question becomes: does \(5-t=8-4t\)? --> does \(t=1\)? We don't know that. Not sufficient.

(1)+(2) We have two distinct linear equations (t = 17 - 4s and s = 8 - 4t), thus we can solve for both unknowns and answer the question whether \(s = 5 - t\). Sufficient,

Answer: C.

Hope it helps.


bunuel we have question is s+t=5?

statement 1: when u put s=4 in t=17-4s..we will get the t=1

will it not be sufficient??
s=4 and t=1..S+t=5??

as it is same in Statement 2..we can get s and t?

ohh god y my concepts are wandering ..as my exam date is cming near ... m forgeting all concepts..:(

We don't know from (1) s=4. The question becomes to determine whether s=4.
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Thanks for reply bunuel..

S=4 is not given..agree:)

s=5-t

t=17-4s..

s=5-17-4s

s=4

put s=4 in equation T=17-4(4)--------we get T=1

S=4

T=1

question is S+t=5---------Ans is Yes..we got it..

same is equation 2..we get the S=4..T=1..

where m wrong??
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sanjoo
Thanks for reply bunuel..

S=4 is not given..agree:)

s=5-t

t=17-4s..

s=5-17-4s

s=4

put s=4 in equation T=17-4(4)--------we get T=1

S=4

T=1

question is S+t=5---------Ans is Yes..we got it..

same is equation 2..we get the S=4..T=1..

where m wrong??

You ask the same question. s=5-t is also not given, it's what we need to find out.
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Ohh..GOt it Bunuel !! Thanks Alot for reply :)
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Does s = 5 - t ?

(1) t = 17 - 4s

(2) s = 8 - 4t

I answered correctly but it wasn't really sure of answer process. I converted s + t = 5.

Each of (1) or (2) seemingly could not answer alone. So I combined the statements and
s + t = clearly something that is not 5.

But it decisively answers the question (i.e. NO, it does NOT).

So I arrive at the answer...

Is that the way to answer it?

Thanks for your help.


Plug the first statement in the stem ----> we can solve for s but not for t, INSUFFICENT

Plug statememt 2 into the stem ----> we can solve for t but not for s, INSUFFICENT

But both combined can solve for s and t ---> SUFFICENT

So in other words, if we quickly can determine whether the info given is enough to solve for both unkonwns, we're done. We don't need to calculate and make it complicated. This approach takes about 20 seconds.
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elegan
Does s = 5 - t ?

(1) t = 17 - 4s

(2) s = 8 - 4t


Question : Does s = 5 - t ?

Statement 1: t = 17 - 4s

i.e. s = (17 - t)/4 but this may or may not be equal to (5 - t) therefore
NOT SUFFICIENT


Statement 2: s = 8 - 4t
But this may or may not be equal to (5 - t) therefore
NOT SUFFICIENT

Combining the two statements

s = (17 - t)/4 AND s = 8 - 4t

i.e. (17 - t)/4 = 8 - 4t
i.e. 17 - t = 32 - 16t
i.e. 15 t = 32 - 17 = 15
i.e. t = 1
i.e. s = 8 - (4)(1) = 4
and 5 - t = 5 - 1 = 4 which is equal to s therefore
SUFFICIENT

Answer: Option
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