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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # The difference of two negative numbers is 2. If the greater of the two

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e-GMAT Representative V
Joined: 04 Jan 2015
Posts: 3158
The difference of two negative numbers is 2. If the greater of the two  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 70% (01:51) correct 30% (02:09) wrong based on 79 sessions

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The difference of two negative numbers is 2. If the greater of the two numbers is 10 more than thrice the lesser, what is the sum of the two numbers?

(A) -10
(B) -8
(C) -6
(D) -4
(E) -2

_________________
NUS School Moderator V
Joined: 18 Jul 2018
Posts: 1027
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: The difference of two negative numbers is 2. If the greater of the two  [#permalink]

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Let the two negative numbers be X and Y.
Given, X-Y = 2
As X and Y are both negative, to get positive difference Y should be lesser than X.
X = 10+3Y
10+3Y-Y = 2
2Y = -8
Y = -4
X = 10-12 = -2
X+Y = -6

GMAT Club Legend  V
Joined: 18 Aug 2017
Posts: 5492
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
The difference of two negative numbers is 2. If the greater of the two  [#permalink]

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given
-a-(-b)=2
and
a=10+3b
solve for a & b we get -4 & -2
so -4+(-2) = -6
IMO C

EgmatQuantExpert wrote:
The difference of two negative numbers is 2. If the greater of the two numbers is 10 more than thrice the lesser, what is the sum of the two numbers?c

(A) -10
(B) -8
(C) -6
(D) -4
(E) -2

e-GMAT Representative V
Joined: 04 Jan 2015
Posts: 3158
Re: The difference of two negative numbers is 2. If the greater of the two  [#permalink]

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Solution

Given:
• The difference of two negative numbers is 2
• The greater of the two numbers is 10 more than thrice the lesser

To find:
• The sum of the two numbers

Approach and Working Out:
Let us assume that x and y are the two negative numbers, and x > y
• Now, from the given information, we have
o x – y = 2, and ………………. (1)
o x = 3y + 10 ………………………………... (2)

• Solving (1) and (2), we get,
o y + 2 = 3y + 10
o Thus, y = -4, and x = 2 – 4 = -2

• Therefore, x + y = -2 – 4 = -6

Hence, the correct answer is Option C.

_________________ Re: The difference of two negative numbers is 2. If the greater of the two   [#permalink] 26 Jun 2019, 03:45
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