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The difference of two negative numbers is 2. If the greater of the two

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The difference of two negative numbers is 2. If the greater of the two  [#permalink]

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New post 19 Jun 2019, 06:46
00:00
A
B
C
D
E

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

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Re: The difference of two negative numbers is 2. If the greater of the two  [#permalink]

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New post 19 Jun 2019, 10:55
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

C is the answer.
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The difference of two negative numbers is 2. If the greater of the two  [#permalink]

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New post 19 Jun 2019, 11:42
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

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Re: The difference of two negative numbers is 2. If the greater of the two  [#permalink]

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New post 26 Jun 2019, 03:45

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.

Answer: C


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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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