GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Oct 2019, 23:02

Close

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.

Close

Request Expert Reply

Confirm Cancel

10 years ago, Jack was twice as old a Renee. Two years from now, Jack

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Manager
Manager
User avatar
S
Joined: 17 Jan 2017
Posts: 60
10 years ago, Jack was twice as old a Renee. Two years from now, Jack  [#permalink]

Show Tags

New post 07 Apr 2018, 03:01
1
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

71% (02:33) correct 29% (02:45) wrong based on 34 sessions

HideShow timer Statistics

10 years ago, Jack was twice as old a Renee. Two years from now, Jack will be 1.5 time as old as Renee. What was the sum of the ages of Jack and Renee 5 years ago?

A. 28
B. 36
C. 46
D. 50
E. 56

Source: ExpersGlobal
Director
Director
User avatar
G
Joined: 09 Aug 2017
Posts: 509
Re: 10 years ago, Jack was twice as old a Renee. Two years from now, Jack  [#permalink]

Show Tags

New post 07 Apr 2018, 03:49
j-10=2(r-10)
j+2= 3/2(r+2)
j+r-10 is answer i.e. 46
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 3578
10 years ago, Jack was twice as old a Renee. Two years from now, Jack  [#permalink]

Show Tags

New post 07 Apr 2018, 07:20
1
benejo wrote:
10 years ago, Jack was twice as old a Renee. Two years from now, Jack will be 1.5 time as old as Renee. What was the sum of the ages of Jack and Renee 5 years ago?

A. 28
B. 36
C. 46
D. 50
E. 56

Source: ExpersGlobal

Solve the first two equations. "Five years ago" can be handled at the end.

Ten years ago, Jack was twice as old as Renee:
J - 10 = 2(R -10)
J - 10 = 2R - 20
J = 2R - 10

Two years from now, Jack will be 1.5 times as old as Renee.
J + 2 = \(\frac{3}{2}\)(R + 2)
J + 2 = \(\frac{3}{2}\)R + 3

Substitute J = 2R - 10

(2R - 10) + 2 = \(\frac{3}{2}\)R + 3

2R - \(\frac{3}{2}\)R = 10 - 2 + 3
\(\frac{4}{2}\)R - \(\frac{3}{2}\)R = 11
\(\frac{1}{2}\)R = 11
R = 22

J = 2R - 10
J = 34

R + J = (22 + 34) = 46

FIVE YEARS AGO is the same.
(Do the arithmetic. There is a reason it works. If you see it, great. If not, arithmetic is simple.)
R = (22-5) = 17
J = (34-5) = 29
R + J = 46

Answer C

**I left 1.5 = \(\frac{3}{2}\) until near the end. That fraction is not hard. If you wish, at second equation, multiply all by 2 to clear the fraction: J + 2 = \(\frac{3}{2}\)(R + 2)
2J + 4 = 3(R + 2) . . .finish

_________________
SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here.


Instructions for living a life. Pay attention. Be astonished. Tell about it. -- Mary Oliver
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13410
Re: 10 years ago, Jack was twice as old a Renee. Two years from now, Jack  [#permalink]

Show Tags

New post 12 May 2019, 13:23
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: 10 years ago, Jack was twice as old a Renee. Two years from now, Jack   [#permalink] 12 May 2019, 13:23
Display posts from previous: Sort by

10 years ago, Jack was twice as old a Renee. Two years from now, Jack

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne