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.
If AC = 10, BD = 15
[#permalink]
13 Dec 2023, 01:12
13 Dec 2023, 01:12
Expert Reply
00:00
Question Stats:
50% (02:28) correct
50% (02:47) wrong based on 4 sessions
Hide Show timer Statistics
Attachment:
GRe number line (8).jpg [ 6.29 KiB | Viewed 594 times ]
If AC = 10, BD = 15 and AB/BC =BC/CD, what is the length of the line AD?
Show: ::
19
Re: If AC = 10, BD = 15
[#permalink]
19 Dec 2023, 12:16
19 Dec 2023, 12:16
1
From statement 1:
AC = AB + BC = 10
BD = BC + CD = 15
AD = AB + BC + CD. Since BC is unknown. We cant determine the length of AD.
Insufficient.
From statement 2:
AB / BC = BC / CD
Cross multiplying gives BC² = AB * CD
Clearly Insufficient.
Combining both From 1:
AB = 10 - BC
CD = 15 - BC
From 2 BC² = AB * CD = (10 - BC)(15 - BC)
Solving gives BC as 6.
Hence AD becomes 19.
AC = AB + BC = 10
BD = BC + CD = 15
AD = AB + BC + CD. Since BC is unknown. We cant determine the length of AD.
Insufficient.
From statement 2:
AB / BC = BC / CD
Cross multiplying gives BC² = AB * CD
Clearly Insufficient.
Combining both From 1:
AB = 10 - BC
CD = 15 - BC
From 2 BC² = AB * CD = (10 - BC)(15 - BC)
Solving gives BC as 6.
Hence AD becomes 19.
gmatclubot
Re: If AC = 10, BD = 15 [#permalink]
19 Dec 2023, 12:16
Moderators:
