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M is the sum of three consecutive odd integers, the least of which is

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M is the sum of three consecutive odd integers, the least of which is  [#permalink]

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New post 03 Jul 2018, 01:18
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M is the sum of three consecutive odd integers, the least of which is t. In terms of M, which of the following is the sum of three consecutive odd integers, the greatest of which is t ?

A) \(M + 12\)

B) \(M + 6\)

C) \(M - 6\)

D) \(M - 12\)

E) \(\frac{M}{2}\)

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M is the sum of three consecutive odd integers, the least of which is  [#permalink]

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New post Updated on: 04 Aug 2018, 09:32
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Ans: D

three consecutive odd int of which t is minimum= t, t+2, t+4
so M= t+t+2+t+4 = 3t+6 ; so t= (M-6)/3

Now we need to find t+ t-2+t-4 = 3t -6
= [3*(M-6)]/3 -6 = M-6-6 = M-12
Ans: D

We can also do this by putting values:
lets say t = 7 so M= 7+9+11 = 27
now 7+5+3 = 15 which is 27-12 = so M-12 is the ans.
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Originally posted by D3N0 on 03 Jul 2018, 01:33.
Last edited by D3N0 on 04 Aug 2018, 09:32, edited 2 times in total.
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Re: M is the sum of three consecutive odd integers, the least of which is  [#permalink]

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New post 03 Jul 2018, 03:01
Bunuel wrote:
M is the sum of three consecutive odd integers, the least of which is t. In terms of M, which of the following is the sum of three consecutive odd integers, the greatest of which is t ?

A) \(M + 12\)

B) \(M + 6\)

C) \(M - 6\)

D) \(M - 12\)

E) \(\frac{M}{2}\)



M=t+t+2+t+4
M=3t+6
t=(M-6)/3
M2=t+t-2+t-4
M2=3t-6
M2=3(M-6)/3 -6
M2=M-6-6=M-12
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Re: M is the sum of three consecutive odd integers, the least of which is  [#permalink]

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New post 04 Aug 2018, 06:48
D3N0 wrote:
Ans: D

three consecutive odd int of which t is minimum= t, t+2, t+4
so M= t+t+2+t+4 = 3t+6 ; so t= (M-6)/3

Now we need to find t+ t-2+t-4 = 3t -6
= 3(M-6)/2 -6 = M-6-6 = M-12Ans: D

We can also do this by putting values:
lets say t = 7 so M= 7+9+11 = 27
now 7+5+3 = 15 which is 27-12 = so M-12 is the ans.
Bunuel wrote:
M is the sum of three consecutive odd integers, the least of which is t. In terms of M, which of the following is the sum of three consecutive odd integers, the greatest of which is t ?

A) \(M + 12\)

B) \(M + 6\)

C) \(M - 6\)

D) \(M - 12\)

E) \(\frac{M}{2}\)


hey there :-)
what did you in highlighted part :?
thank you :-)
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Re: M is the sum of three consecutive odd integers, the least of which is  [#permalink]

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New post 04 Aug 2018, 07:48
Bunuel wrote:
M is the sum of three consecutive odd integers, the least of which is t. In terms of M, which of the following is the sum of three consecutive odd integers, the greatest of which is t ?

A) \(M + 12\)

B) \(M + 6\)

C) \(M - 6\)

D) \(M - 12\)

E) \(\frac{M}{2}\)


Plug in some numbers and check

Scene I

Let the 3 numbers be 5,7 &9 (Where t = 5)

SO, M = 21

Scene II

Let the 3 numbers be 1 , 3 & 5

SO, M = 9

Now, check ANswer must be 21 - 12 = 9, So, ANswer must be (D)
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Re: M is the sum of three consecutive odd integers, the least of which is &nbs [#permalink] 04 Aug 2018, 07:48
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