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

 It is currently 20 Jan 2019, 11:33

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

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

Events & Promotions

Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• FREE Quant Workshop by e-GMAT!

January 20, 2019

January 20, 2019

07:00 AM PST

07:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.
• GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

January 21, 2019

January 21, 2019

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.

While discussing their ages, Anthony tells Kaira, 'My age is 6 times

Author Message
TAGS:

Hide Tags

Manager
Joined: 24 Dec 2015
Posts: 59
Location: India
Concentration: Marketing, Technology
GMAT 1: 710 Q50 V35
GPA: 3.8
WE: Engineering (Computer Software)
While discussing their ages, Anthony tells Kaira, 'My age is 6 times  [#permalink]

Show Tags

15 Jan 2017, 04:25
00:00

Difficulty:

55% (hard)

Question Stats:

60% (02:46) correct 40% (02:27) wrong based on 32 sessions

HideShow timer Statistics

While discussing their ages, Anthony tells Kaira, 'My age is 6 times what your age was when I was your age'. The sum of their current ages is 57. Find Kaira's current age.

A. Cannot be determined
B. 19
C. 20
D. 21
E. 22

Senior Manager
Joined: 13 Oct 2016
Posts: 367
GPA: 3.98
Re: While discussing their ages, Anthony tells Kaira, 'My age is 6 times  [#permalink]

Show Tags

15 Jan 2017, 05:45
2
winionhi wrote:
While discussing their ages, Anthony tells Kaira, 'My age is 6 times what your age was when I was your age'. The sum of their current ages is 57. Find Kaira's current age.

A. Cannot be determined
B. 19
C. 20
D. 21
E. 22

Anthony's age = X

Kaira's age = Y

X = 6(Y - (X - Y))

X = 12Y - 6X

X = 12/7Y

X + Y = 57

12/7Y + Y = 57

19/7Y = 57

19Y = 399

Y = 21

Intern
Joined: 13 Nov 2016
Posts: 9
Location: United States
Schools: ESSEC '20
GMAT 1: 700 Q48 V40
GPA: 3.9
WE: Engineering (Consulting)
Re: While discussing their ages, Anthony tells Kaira, 'My age is 6 times  [#permalink]

Show Tags

12 Feb 2017, 18:00
How did you get the highlighted equation ?

[/quote]
Anthony's age = X

Kaira's age = Y

X = 6(Y - (X - Y))

X = 12Y - 6X

X = 12/7Y

X + Y = 57

12/7Y + Y = 57

19/7Y = 57

19Y = 399

Y = 21

Math Expert
Joined: 02 Aug 2009
Posts: 7209
Re: While discussing their ages, Anthony tells Kaira, 'My age is 6 times  [#permalink]

Show Tags

12 Feb 2017, 19:37
winionhi wrote:
While discussing their ages, Anthony tells Kaira, 'My age is 6 times what your age was when I was your age'. The sum of their current ages is 57. Find Kaira's current age.

A. Cannot be determined
B. 19
C. 20
D. 21
E. 22

Let Anthuony's age be A and Kaira's age be K...

A was equal to K, A-K years back...
So at that time K would be equal to K-(A-K)=2K-A...
Given that A=6(2K-A)=12K-6A...
7A=12K.... But A+K=57...
So 7(57-K)=12K.......7*57=12K+7K....
K=7*57/19=7*3=21
D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13353
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: While discussing their ages, Anthony tells Kaira, 'My age is 6 times  [#permalink]

Show Tags

12 Feb 2017, 19:48
1
Hi winionhi,

This question can be solved by TESTing THE ANSWERS.

We're given a couple of facts to work with:
1) Anthony's current age IS 6 times what Kaira's age WAS when Anthony was Kaira's (current) age.
2) The sum of their CURRENT ages is 57.

We're asked for Kaira's current age.

IF....
Kaira is 19
Anthony is 57 - 19 = 38
38 is "6 times" 6 1/3, which would be a strange way to refer to an age (so this is likely NOT the correct answer).

IF....
Kaira is 21
Anthony is 57 - 21 = 36
36 is "6 times" 6
Anthony was 21 fifteen years ago; at that time, Kaira was 21 - 15 = 6
This is an exact match for what we were told, so this MUST be the answer.

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Current Student
Joined: 12 Aug 2015
Posts: 2626
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Re: While discussing their ages, Anthony tells Kaira, 'My age is 6 times  [#permalink]

Show Tags

12 Feb 2017, 19:49
Great Question.
Here is what i did in this question -->

Let Anthony's age be x and Kaira's age be y.
We are asked the value of y.

Lets make the equation.

x+y=57.

The second part is a bit trickier.
When Anthony was Kaira's age --> That would be x-y years ago.
Hence x-y years ago Kaira's age would be y-(x-y) => y-x+y=2y-x

As per question => x=6(2y-x)
Hence x=12y-6x=> 7x=12y

Solving the two equations -->
x+y=57
7x=12y
7x+7y=57*7
19y=57*7
Hence y=21

So Kaira's present age is 21.

Hence D.

_________________

MBA Financing:- INDIAN PUBLIC BANKS vs PRODIGY FINANCE!

Getting into HOLLYWOOD with an MBA!

The MOST AFFORDABLE MBA programs!

STONECOLD's BRUTAL Mock Tests for GMAT-Quant(700+)

AVERAGE GRE Scores At The Top Business Schools!

Re: While discussing their ages, Anthony tells Kaira, 'My age is 6 times &nbs [#permalink] 12 Feb 2017, 19:49
Display posts from previous: Sort by