Is it true that a > b?
(1) 2a > 2b
(2) a + c > b + c
Answer: D
Source: Official guide
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Is it true that a > b?
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BTGModeratorVI
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deloitte247
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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
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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Brent@GMATPrepNow
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Target question: Is a > b?BTGModeratorVI wrote: ↑Wed Apr 22, 2020 11:04 amIs it true that a > b?
(1) 2a > 2b
(2) a + c > b + c
Answer: D
Source: Official guide
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
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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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mehemmed2020
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1)If the two different numbers multiplied by the same number it doesnt affect their relation.BTGModeratorVI wrote: ↑Wed Apr 22, 2020 11:04 amIs it true that a > b?
(1) 2a > 2b
(2) a + c > b + c
Answer: D
Source: Official guide
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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Scott@TargetTestPrep
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Solution:BTGModeratorVI wrote: ↑Wed Apr 22, 2020 11:04 amIs it true that a > b?
(1) 2a > 2b
(2) a + c > b + c
Answer: D
Source: Official guide
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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