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# In the equation b = ka + 3, k is a constant. If the possible solutions

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Math Expert
Joined: 02 Sep 2009
Posts: 51280
In the equation b = ka + 3, k is a constant. If the possible solutions  [#permalink]

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13 Mar 2018, 22:33
00:00

Difficulty:

25% (medium)

Question Stats:

86% (01:40) correct 14% (01:47) wrong based on 40 sessions

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In the equation b = ka + 3, k is a constant. If the possible solutions are in the form (a, b), is (2, 3) a solution to the equation?

(1) (1, 4) is a solution to the equation b = ka + 2.
(2) (5, 3) is a solution to the equation 3b = ka - 1.

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Joined: 22 Feb 2018
Posts: 414
Re: In the equation b = ka + 3, k is a constant. If the possible solutions  [#permalink]

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14 Mar 2018, 00:38
Bunuel wrote:
In the equation b = ka + 3, k is a constant. If the possible solutions are in the form (a, b), is (2, 3) a solution to the equation?

(1) (1, 4) is a solution to the equation b = ka + 2.
(2) (5, 3) is a solution to the equation 3b = ka - 1.

this is yes or no question.

Statement 1 : as (1,4) is given as solution of equation b = ka + 2,There is only variable K , which can be found.
4 = k*1 +2
k=2
putting value K in equation b=ka+3, b=2a+3
If we have to check whether (2,3) is solution to equation or not.
L.H.S : 3
R.H.S : 2*2+3 = 7.
Statement 1 is sufficient to give yes or no answer

Statement 2 : as (5,3) is given as solution of equation 3b = ka- 1,There is only variable K , which can be found.
3*3 = k*5 -1
k=2
putting value K in equation b=ka+3, b=2a+3
If we have to check whether (2,3) is solution to equation or not.
L.H.S : 3
R.H.S : 2*2+3 = 7.
Statement 2 is sufficient to give yes or no answer

As both statement are individually sufficient , so answer is D
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Re: In the equation b = ka + 3, k is a constant. If the possible solutions &nbs [#permalink] 14 Mar 2018, 00:38
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