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Is it true that a > b?

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Source: — Data Sufficiency |
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Re: Is it true that a > b?

by deloitte247 » Fri Apr 24, 2020 4:49 am

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Statement 1: 2a > 2b
Divide through by 2
$$\frac{2a}{2}>\frac{2b}{2}$$
$$a>b$$
Therefore, statement 1 is SUFFICIENT.

Statement 2: a + c > b + c
Subtract c from both sides
a + c -c > b + c - c
a > b
Also, statement 2 is SUFFICIENT.

Therefore, each statement alone is SUFFICIENT.

Answer = Option D
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Re: Is it true that a > b?

by Brent@GMATPrepNow » Fri Apr 24, 2020 7:52 am

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BTGModeratorVI wrote: ↑
Wed Apr 22, 2020 11:04 am
 Is it true that a > b?

(1) 2a > 2b
(2) a + c > b + c

Answer: D
Source: Official guide
Target question: Is a > b?

Statement 1: 2a > 2b
Divide both sides by 2 to get: a > b
The answer to the target question is YES, a IS greater than b
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: a + c > b + c
Subtract b from both to get: a > b
The answer to the target question is YES, a IS greater than b
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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Re: Is it true that a > b?

by mehemmed2020 » Sat Apr 25, 2020 3:34 am

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BTGModeratorVI wrote: ↑
Wed Apr 22, 2020 11:04 am
 Is it true that a > b?

(1) 2a > 2b
(2) a + c > b + c

Answer: D
Source: Official guide
1)If the two different numbers multiplied by the same number it doesnt affect their relation.
Example; if a=3 b=2
3>2 and 2*3>2*2 sufficient
2) If the same number added to two different numbers it does not affect their relation
again: a=3 and b=2, c=1
3+1>2+1 result is the same. Sufficient
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Re: Is it true that a > b?

by Scott@TargetTestPrep » Sat Apr 25, 2020 2:06 pm

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BTGModeratorVI wrote: ↑
Wed Apr 22, 2020 11:04 am
 Is it true that a > b?

(1) 2a > 2b
(2) a + c > b + c

Answer: D
Source: Official guide
Solution:

Statement One Alone:

2a > 2b

Dividing both sides of the inequality by 2, we have:

a > b

Statement one alone is sufficient to answer the question.

Statement Two Alone:

a + c > b + c

Subtracting c from both sides of the inequality, we have:

a > b

Statement two alone is sufficient.

Answer: D

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