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# If Aidan were 10 years older, he would be twice as old as Tucker. Is A

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Joined: 02 Sep 2009
Posts: 53795
If Aidan were 10 years older, he would be twice as old as Tucker. Is A  [#permalink]

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27 Jul 2017, 01:43
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Difficulty:

65% (hard)

Question Stats:

54% (02:05) correct 46% (01:58) wrong based on 75 sessions

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If Aidan were 10 years older, he would be twice as old as Tucker. Is Aidan older than Tucker?

(1) Tucker is older than 8

(2) Aidan is younger than 10

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Re: If Aidan were 10 years older, he would be twice as old as Tucker. Is A  [#permalink]

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27 Jul 2017, 02:36
Let age of Aidan be X and age of Tucker be Y.
As per the question X+10=2Y.
Solving we get 2Y-X=1.
Now the stem asked if x>y ?????

Stem 1. Y>8.

If y=9 then x=8. The gives a NO.
BUT if y=20, x=30 , give a YES.
INSUFFICIENT

Statement 2. X<10.
On putting value again we get. Yes and a no.
Insufficient.

Combining 1 and ,2 gives a definite answer.

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If Aidan were 10 years older, he would be twice as old as Tucker. Is A  [#permalink]

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27 Jul 2017, 04:14
Bunuel wrote:
If Aidan were 10 years older, he would be twice as old as Tucker. Is Aidan older than Tucker?

(1) Tucker is older than 8

(2) Aidan is younger than 10

a+10 = 2t
is a>t

(1) t>8

if t=9 then a will be 8 but if t=10 then a will be 10
Not sufficient

(2)
a<10
if a=10 then t will be 10
if a=9 then t will be 9.5
if a = 7 then t will be 8.5
if a =6 then t will be 8
if a=0 then t will be 5

Sufficient
Hence B
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Re: If Aidan were 10 years older, he would be twice as old as Tucker. Is A  [#permalink]

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17 Dec 2017, 07:53
A + 10 = 2T

Question is A > T ? => A > (A+10)/2 ?=> 2A > A + 10 ? => A > 10 ?
A > T ? => 2T - 10 > T ? => T > 10 ?
Question is simplified: A > 10 ? OR T > 10 ?

Statement 1: Tucker is older than 8 => T > 8
=> Insufficient to tell if T > 10

Statement 2: Aiden is younger than 10 => A < 10 => directly answers our question

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Re: If Aidan were 10 years older, he would be twice as old as Tucker. Is A   [#permalink] 17 Dec 2017, 07:53
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# If Aidan were 10 years older, he would be twice as old as Tucker. Is A

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