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S is the sum of three consecutive integers, the greatest of which is x

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S is the sum of three consecutive integers, the greatest of which is x  [#permalink]

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New post 08 Mar 2019, 03:09
1
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

77% (01:45) correct 23% (02:01) wrong based on 39 sessions

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Joined: 18 Aug 2017
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Concentration: Sustainability, Marketing
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S is the sum of three consecutive integers, the greatest of which is x  [#permalink]

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New post Updated on: 08 Mar 2019, 05:00
1
Bunuel wrote:
S is the sum of three consecutive integers, the greatest of which is x. In terms of S, which of the following is the sum of three consecutive integers, the least of which is x?

A. S - 6
B. S - 3
C. S + 3
D. S + 6
E. 2S


greatest = x
so middle = x-1 and least = x-2
so x-2+x-1+x=S
3x=s+3
x=s/3+1
sum = 3x+3
or say
3*(s/3+1)+3
S+6
IMO D

Originally posted by Archit3110 on 08 Mar 2019, 04:36.
Last edited by Archit3110 on 08 Mar 2019, 05:00, edited 1 time in total.
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Re: S is the sum of three consecutive integers, the greatest of which is x  [#permalink]

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New post 08 Mar 2019, 04:46
Let three consecutive integers be x-2, x-1, x

Sum of these three integers = 3x - 3 = 3(x-1) = S

From above equation, x = S/3 + 1

With least integer as x, the three consecutive integers now become: x, x+1, x+2

Sum of the new three consecutive integers = 3x+3 = 3(S/3 +1) + 3 = S+6

Answer is D.
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Re: S is the sum of three consecutive integers, the greatest of which is x   [#permalink] 08 Mar 2019, 04:46
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S is the sum of three consecutive integers, the greatest of which is x

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