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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

The sum of ages of 22 boys and 24 girls is 160. What is the [#permalink]

Show Tags

28 Aug 2009, 06:12

3

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

25% (medium)

Question Stats:

77% (02:48) correct
23% (02:19) wrong based on 225 sessions

HideShow timer Statistics

The sum of ages of 22 boys and 24 girls is 160. What is the sum of ages of one boy and one girl, if all the boys are of the same age and all the girls are of the same age, and only full years are counted?

Basically what you can also notice is that if for (x+y)=7, you take the bigger possible factor (y) for 24 and the smallest, your result will be between 156 and 166

Basically what you can also notice is that if for (x+y)=5, you take the bigger possible factor (y) for 24 and the smallest, your result will be between 112 and 118

Basically what you can also notice is that if for (x+y)=6, you take the bigger possible factor (y) for 24 and the smallest, your result will be between 134 and 142

What is the source of this question? I do not know which concept is tested here. If we round off we get 3.5 as the age of each boy/girl.

Total is 7..but then what is the meaning of "full years are counted"? I can only think of the following..since the number of girls are higher we have to take 4 as the full years ( as the decimal will be closer to 4 ) and for boys 3. Is this what is tested here?

Sometimes an equation works less efficiently than picking numbers. This is one of the cases.

You can solve this question by testing the min/max values. Note I assume 0 cannot be a value since being 0 years old doesn't really make sense. Although if you re-run the calculations with 0 nothing is affect.

A) 5 - Max 22(1) + 24(4) = 118 too low B) 6 - Max 22(1) + 24(5) = 142 too low E) 9 - Min 22 (8) + 24(1) = 200 too high D) 8 - Min 22 (7) + 24(1) = 178 too high

Thank you, guys! Flyingbunny - kudos to you) The only note is that we should use >0 equation (instead of =>0), cause if we assume that the age of a person could be equal to 0, this means that the person has not been born yet which is definitely not the case.

Re: The sum of ages of 22 boys and 24 girls is 160. What is the [#permalink]

Show Tags

27 Feb 2012, 14:05

Expert's post

1

This post was BOOKMARKED

CasperMonday wrote:

The sum of ages of 22 boys and 24 girls is 160. What is the sum of ages of one boy and one girl, if all the boys are of the same age and all the girls are of the same age, and only full years are counted?

A. 5 B. 6 C. 7 D. 8 E. 9

No need for complicated approaches: 22b+24g=160 --> 11b+12g=80. Notice that b must be even in order the sum to be even: b=2 doesn't give integer value of g, but b=4 does --> g=3 --> b+g=7. So as you see you need to try only two values to get the right answer.

Re: The sum of ages of 22 boys and 24 girls is 160. What is the [#permalink]

Show Tags

03 Aug 2014, 12:33

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. _________________

Re: The sum of ages of 22 boys and 24 girls is 160. What is the [#permalink]

Show Tags

03 Aug 2014, 13:24

22*b+24*g = 160 => 22(b+g) + 2g = 160 => 11(b+g) + g = 80. Using the choices, A isn't feasible, B isn't feasible, C is, D & E overshoot 80, so C it is.

MBA Admission Calculator Officially Launched After 2 years of effort and over 1,000 hours of work, I have finally launched my MBA Admission Calculator . The calculator uses the...

Final decisions are in: Berkeley: Denied with interview Tepper: Waitlisted with interview Rotman: Admitted with scholarship (withdrawn) Random French School: Admitted to MSc in Management with scholarship (...

The London Business School Admits Weekend officially kicked off on Saturday morning with registrations and breakfast. We received a carry bag, name tags, schedules and an MBA2018 tee at...