Last visit was: 21 Jul 2024, 01:19 It is currently 21 Jul 2024, 01:19
Toolkit
GMAT 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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Request Expert Reply

# Two trees have a combined height of 60 feet, and the taller tree is x

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94433
Own Kudos [?]: 642638 [0]
Given Kudos: 86715
Director
Joined: 18 Jul 2018
Posts: 918
Own Kudos [?]: 1310 [0]
Given Kudos: 95
Location: India
Concentration: Operations, General Management
GMAT 1: 590 Q46 V25
GMAT 2: 690 Q49 V34
WE:Engineering (Energy and Utilities)
Director
Joined: 01 Oct 2017
Status:Learning stage
Posts: 822
Own Kudos [?]: 1371 [0]
Given Kudos: 41
WE:Supply Chain Management (Energy and Utilities)
Manager
Joined: 20 Jul 2018
Posts: 68
Own Kudos [?]: 77 [0]
Given Kudos: 19
GPA: 2.87
Re: Two trees have a combined height of 60 feet, and the taller tree is x [#permalink]
let height of small tree is A and that of taller tree is B
so $$A+B=60$$
$$B=xA$$
so
$$A+xA=60$$
$$A(1+x)=60$$
$$A=\frac{60}{(1+x)}$$
GMAT Club Legend
Joined: 19 Dec 2014
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Posts: 21835
Own Kudos [?]: 11790 [0]
Given Kudos: 450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: Two trees have a combined height of 60 feet, and the taller tree is x [#permalink]
Expert Reply
Hi All,

We're told that two trees have a combined height of 60 feet and the taller tree is X times the height of the shorter tree. We're asked to find the height of the shorter tree in terms of X. This question can be approached in a couple of different ways, including by TESTing VALUES.

IF the shorter tree is 10 feet tall and the taller tree is 50 feet tall, then X = 5. Thus, we're looking for an answer that equals 10 when we plug X=5 into it. After checking all five answers, there's only one that matches...

Final Answer:

GMAT assassins aren't born, they're made,
Rich
Re: Two trees have a combined height of 60 feet, and the taller tree is x [#permalink]
Moderator:
Math Expert
94433 posts