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30 May 2018, 07:05
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A
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Difficulty:
45%
(medium)
Question Stats:
71% (02:19) correct
29%
(02:02)
wrong
based on 111
sessions
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On the x-y coordinate plane, lines j and k intersect at one point.
If the equation of line j is bx + ay = 5, and the equation of line k is 2bx - 3ay = -5, what is the value of a + b?
(1) Lines j and k intersect at (1, -3).
(2) a - b = -3
*kudos for all correct solutions
If the equation of line j is bx + ay = 5, and the equation of line k is 2bx - 3ay = -5, what is the value of a + b?
(1) Lines j and k intersect at (1, -3).
(2) a - b = -3
*kudos for all correct solutions
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30 May 2018, 08:18
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Statement 1 is clearly sufficient as by substituting the value of x and y as 1 and -3 respectively, we can solve for a and b. Thus, a + b can be calculated.
Statement 2 gives an equation. If we try substituting the value of a in terms of b or vice versa, we cannot still solve because, the values of x and y are still unknown.
Hence, ans is A. IMO A.
Posted from my mobile device
Statement 2 gives an equation. If we try substituting the value of a in terms of b or vice versa, we cannot still solve because, the values of x and y are still unknown.
Hence, ans is A. IMO A.
Posted from my mobile device
30 May 2018, 09:28
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should be D,
from 1) after putting value of intersection point we can solve equations to get value of a and b and then a+b. sufficient
2)put a = b-3 in both equations for j and k and you can find a and b and then a+b. sufficient
Sent from my iPhone using GMAT Club Forum
from 1) after putting value of intersection point we can solve equations to get value of a and b and then a+b. sufficient
2)put a = b-3 in both equations for j and k and you can find a and b and then a+b. sufficient
Sent from my iPhone using GMAT Club Forum
