UrbanPro
true

Take Class 12 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Search in

The Equation 3x+11y = K Where K Is A 2 Digit Number Has Exactly Three Solutions In Which Both X And Y Are Positive Integers.

Sujoy Das
07/02/2018 0 0

Question:

The equation 3x+11y=k where k is a 2 digit number has exactly three solutions in which both x and y are positive integers.
Which of the following is not a value of x? 5,17,19,25

 Answer:

In equation 3x+11y = k, x increases by 11 and y decreases by 3 as k is constant.

Now take the value of x= 5 and put y =1 we get k= 26(true) Next value of x = 5 + 11 = 16, k = 59(true).

Next value of x = 27, k = 92(true)

So solution set = {5, 16, 27}

Similarly check for x = 17.

For x = 19, we have k = 68 (true),

Next x = 30 then k = 108(false)

Even you take x = 19 - 11 = 8, k = 35 (true) but on x = 30 is false which is the third possible value of a solution set. and
 
At last x = 25, k = 86 (true)

Next value of x = 3, 14 having k = 20, 53 respectively.

So solution set {3, 14, 25}.

0 Dislike
Follow 4

Please Enter a comment

Submit

Other Lessons for You

Summary of 10th maths CBSE (imp topic is covered)
Hello friendsJust read all those stuff and try to remind it and if you have doubts in any of them then go through the book It's beneficial: 1)real number: for finding HCF and LCM by prime factorisation.Euclid...

Class 11th - Maths
Calculate slope of a line(AB) formed by joining the co-ordinates A(-3, 5) and B(4,8)
G

GOODWILL GATE2IIT

0 1
1

Preparing for Maths Exam for SAT, GRE, NDA-NA & VII to XII Standard of Any Board
First, prepare a Formulae Notebook to make Ready Reference for solving the problems. Prepare Index page, write chapter numbers and number all pages of Notebook. Write Chapterwise formulae and mention...
A

Arun Vinayak Joshi

0 0
0

Summary of 10th maths CBSE (imp topic is covered)
Hello friendsJust read all those stuff and try to remind it and if u have doubts in any of them then go through book and either call me 9710368667It's really helpful: 1)real number :for finding HCF and...

Probability
Probability Problem: A spinner has 4 equal sectors colored yellow, blue, green and red. What are the chances of landing on blue after spinning the spinner? What are the chances of...
X

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more