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If a, b, and c are three consecutive odd integers such that 10 < a < b

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If a, b, and c are three consecutive odd integers such that 10 < a < b  [#permalink]

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New post 17 Dec 2018, 08:48
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If a, b, and c are three consecutive odd integers such that 10 < a < b < c < 20 and if b and c are prime numbers, what is the value of a + b?

(A) 24
(B) 28
(C) 30
(D) 32
(E) 36

Project PS Butler : Question #83


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Re: If a, b, and c are three consecutive odd integers such that 10 < a < b  [#permalink]

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New post 17 Dec 2018, 08:55
only possible relation would be:

10<15<17<19<20

15+17= 32 IMO D



quote="HKD1710"]If a, b, and c are three consecutive odd integers such that 10 < a < b < c < 20 and if b and c are prime numbers, what is the value of a + b?

(A) 24
(B) 28
(C) 30
(D) 32
(E) 36

Project PS Butler : Question #83


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Re: If a, b, and c are three consecutive odd integers such that 10 < a < b  [#permalink]

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New post 17 Dec 2018, 09:21
HKD1710 wrote:
If a, b, and c are three consecutive odd integers such that 10 < a < b < c < 20 and if b and c are prime numbers, what is the value of a + b?

(A) 24
(B) 28
(C) 30
(D) 32
(E) 36

Project PS Butler : Question #83


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Consecutive odd integers between 10 and 20 are 11,13,15,17,19
B and C are prime numbers. Since A is at least 11, then B and C must be 17 and 19.

Hence A = 15, B = 17, C = 19.

A+B = 32

Answer D
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Re: If a, b, and c are three consecutive odd integers such that 10 < a < b  [#permalink]

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New post 17 Dec 2018, 11:17
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HKD1710 wrote:
If a, b, and c are three consecutive odd integers such that 10 < a < b < c < 20 and if b and c are prime numbers, what is the value of a + b?

(A) 24
(B) 28
(C) 30
(D) 32
(E) 36

Project PS Butler : Question #83


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Note:

1. a,b,c are consecutive odd integers.
2.b and c are prime numbers.

Range: 10<a<b<c<20.

All the odd withing the range: 11,13,15,17,19.

***we have to keep in mind that last 2 consecutive odd and prime.

Thus , a<b<c = 15<17<19.

a + b = 15 + 17 = 32.

The best answer is D.
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Re: If a, b, and c are three consecutive odd integers such that 10 < a < b   [#permalink] 17 Dec 2018, 11:17
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