It is currently 25 May 2019, 23:01

### 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

# How many ordered pairs of positive integers (x,y) satisfy th

Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 6631
Followers: 107

Kudos [?]: 1274 [0], given: 6002

How many ordered pairs of positive integers (x,y) satisfy th [#permalink]  18 Nov 2018, 10:50
Expert's post
00:00

Question Stats:

61% (00:44) correct 38% (01:18) wrong based on 18 sessions

How many ordered pairs of positive integers (x,y) satisfy the inequality $$2x+3y < 10$$?

A. One

B. Two

C. Three

D. Four

E. Five
[Reveal] Spoiler: OA
Director
Joined: 20 Apr 2016
Posts: 864
WE: Engineering (Energy and Utilities)
Followers: 11

Kudos [?]: 645 [1] , given: 142

Re: How many ordered pairs of positive integers (x,y) satisfy th [#permalink]  25 Nov 2018, 11:24
1
KUDOS
Explanation:

Here (x, y) can take integer values from 1 as they are positive integers.

So lets put the values one at a time, such that the resulting value is less than 10

1. If x = 1 and y =1, then 2*1 + 3*1 = 5 < 10

2. If x = 2 and y = 1, then 2*2 + 3*1 = 7 < 10

3. If x = 3 and y =1, then 2*3 + 3*1 = 9 < 10

4. If x = 4 and y =1, then 2*4 + 3*1 = 11 > 10 This is not possible

5. If x = 1 and y = 2, then 2*1 + 3*2 = 7 < 10

6. If x = 1 and y = 3, then 2*1 + 3*3 = 11 > 10. This is not possible

So in all, we have 4 pairs: (1, 1), (1, 2), (2, 1), (3, 1) i.e. Option D
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html

Intern
Joined: 27 Mar 2019
Posts: 1
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: How many ordered pairs of positive integers (x,y) satisfy th [#permalink]  29 Mar 2019, 23:48
4

Posted from my mobile device
Re: How many ordered pairs of positive integers (x,y) satisfy th   [#permalink] 29 Mar 2019, 23:48
Display posts from previous: Sort by