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Math Expert V
Joined: 02 Sep 2009
Posts: 65785
If a = 3b + c, what is the value of b when a = 17 and c = 2 ?  [#permalink]

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Difficulty:   5% (low)

Question Stats: 100% (00:17) correct 0% (00:00) wrong based on 30 sessions

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If a = 3b + c, what is the value of b when a = 17 and c = 2 ?

(A) 5

(B) 18/3

(C) 12

(D) 15

(E) 45

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PS Forum Moderator P
Joined: 18 Jan 2020
Posts: 1520
Location: India
GPA: 4
Re: If a = 3b + c, what is the value of b when a = 17 and c = 2 ?  [#permalink]

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Given: a = 3b + c, a = 17 and c = 2
To find: the value of b = ?

Solution: a = 3b + c
Putting Values,
17 = 3B + 2
17 - 2 = 3B
15 = 3B
5 = B

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Manager  S
Joined: 07 Jan 2020
Posts: 170
Location: India
Schools: HEC, EDHEC
GPA: 4
Re: If a = 3b + c, what is the value of b when a = 17 and c = 2 ?  [#permalink]

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a = 3b + c , given A = 17 , C = 2

17 = 3b + 2
15 = 3b
b = 5

GMATWhiz Representative P
Joined: 07 May 2019
Posts: 975
Location: India
Re: If a = 3b + c, what is the value of b when a = 17 and c = 2 ?  [#permalink]

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Bunuel wrote:
If a = 3b + c, what is the value of b when a = 17 and c = 2 ?

(A) 5

(B) 18/3

(C) 12

(D) 15

(E) 45

Solution

• $$a = 17,$$
• $$c = 2,$$
• We need to find the value of b
• We have, $$a = 3b + c$$
o Substituting the value of a and c in the above equation, we get,
 $$17 = 3*b + 2$$
o Subtracting 2 from both sides, we get,
 $$15 = 3*b$$
o Dividing both sides of the above equation by 3, we get,
 $$b = 5$$
Thus, the correct answer is Option A.
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Manager  B
Joined: 11 Oct 2019
Posts: 103
If a = 3b + c, what is the value of b when a = 17 and c = 2 ?  [#permalink]

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$$a = 3b + c$$
$$17 = 3b + 2$$
$$3b = 15$$
$$b = 5$$ If a = 3b + c, what is the value of b when a = 17 and c = 2 ?   [#permalink] 02 Jul 2020, 12:41

# If a = 3b + c, what is the value of b when a = 17 and c = 2 ?  