Is it true that a > b?

[BTGModeratorVI]

Is it true that a > b?

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

Answer: D
Source: Official guide

[deloitte247]

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

[Brent@GMATPrepNow]

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

[mehemmed2020]

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

[Scott@TargetTestPrep]

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