GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A, B, C, and D are four points on the same straight line....
[#permalink]
15 Dec 2017, 10:10
15 Dec 2017, 10:10
00:00
Question Stats:
80% (01:47) correct
20% (02:24) wrong based on 5 sessions
Hide Show timer Statistics
A, B, C, and D are four points on the same straight line. The distances between the successive points are equal. If A is (1, -3), C is (4, a), and D is (b, 5). Find the values of a and b.
<----A(1, -3)----B----C(4, a)----D(b, 5)---->
How do I solve this question and what are the answers of a and b?
Source: HAESE MATHEMATICS Mathematics for the international student 10E MYP 5 (extended)
<----A(1, -3)----B----C(4, a)----D(b, 5)---->
How do I solve this question and what are the answers of a and b?
Source: HAESE MATHEMATICS Mathematics for the international student 10E MYP 5 (extended)
Re: A, B, C, and D are four points on the same straight line....
[#permalink]
15 Dec 2017, 11:18
15 Dec 2017, 11:18
2
Expert Reply
okayimbad wrote:
A, B, C, and D are four points on the same straight line. The distances between the successive points are equal. If A is (1, -3), C is (4, a), and D is (b, 5). Find the values of a and b.
<----A(1, -3)----B----C(4, a)----D(b, 5)---->
How do I solve this question and what are the answers of a and b?
Source: HAESE MATHEMATICS Mathematics for the international student 10E MYP 5 (extended)
<----A(1, -3)----B----C(4, a)----D(b, 5)---->
How do I solve this question and what are the answers of a and b?
Source: HAESE MATHEMATICS Mathematics for the international student 10E MYP 5 (extended)
Hello,
We explicitly solve GRE questions on this forum. And this is not one or at the very least not formattted like one.
That being said,
You have two variables a and b. among the points. Now since they are on the same line so you can write equations for slope
Slope AC = Slope AD = \(\frac{a+3}{3}=\frac{8}{b}\).
Also points are equidistant AB = BC = CD.
So you can write something line AC=2 * CD. So distance equation gives the second equation.
Solve then for a and b.
Regards,
Sandy
gmatclubot
Re: A, B, C, and D are four points on the same straight line.... [#permalink]
15 Dec 2017, 11:18
Moderators:
