GIVEN:The ratio of the TWO numbers is 17 : 28.Concept USED:Ratio concept used.Calculation:Let the smaller number be xAnd the larger number be ySo, x/y = 17/28 ⇒ 28x = 17y ----(i)When 6 is added to the smaller number, the smaller number becomes = x + 6SO, the new ratio becomes:(x + 6)/y = 13/20 ⇒ 20 × (x + 6) = 13y⇒ 20x + 120 = 13y⇒ x = (13y – 120)/20 ----(ii)We substitute the value of x from equation(ii) into equation(i), to get:28 × [(13y – 120)/20]= 17y⇒ 28 × (0.65y – 6) = 17y⇒ y = 140∴ The value of the larger number is 140.(17x + 6) : 28x = 13 : 20⇒ (17x + 6)/28x = 13/20⇒ 20(17x + 6) = 13(28x)⇒ 340x + 120 = 364x⇒ 120 = 24x⇒ x = 120/24 = 5Larger number = 28x = 28 × 5 = 140∴ The value of the larger number is 140. "> GIVEN:The ratio of the TWO numbers is 17 : 28.Concept USED:Ratio concept used.Calculation:Let the smaller number be xAnd the larger number be ySo, x/y = 17/28 ⇒ 28x = 17y ----(i)When 6 is added to the smaller number, the smaller number becomes = x + 6SO, the new ratio becomes:(x + 6)/y = 13/20 ⇒ 20 × (x + 6) = 13y⇒ 20x + 120 = 13y⇒ x = (13y – 120)/20 ----(ii)We substitute the value of x from equation(ii) into equation(i), to get:28 × [(13y – 120)/20]= 17y⇒ 28 × (0.65y – 6) = 17y⇒ y = 140∴ The value of the larger number is 140.(17x + 6) : 28x = 13 : 20⇒ (17x + 6)/28x = 13/20⇒ 20(17x + 6) = 13(28x)⇒ 340x + 120 = 364x⇒ 120 = 24x⇒ x = 120/24 = 5Larger number = 28x = 28 × 5 = 140∴ The value of the larger number is 140. ">
Mobile Technologies Web Technologies Digital Marketing Creative Design Career Talk Medical General Tech Interviews Internet Of Things

Embark on a journey of knowledge! Take the quiz and earn valuable credits.

Take A Quiz

Challenge yourself and boost your learning! Start the quiz now to earn credits.

Take A Quiz

Unlock your potential! Begin the quiz, answer questions, and accumulate credits along the way.

Take A Quiz

Popular Categories

All
Interview Questions
QuestionBank
Quantitative Aptitude
Engineering
Govt Exams
Digital Marketing
Management
Interviews

The ratio of the two numbers is 17 : 28. If 6 is added to the smaller number, then the ratio changes to 13 : 20. What is the value of a larger number?

Current Affairs General Awareness in Current Affairs 8 months ago

  869   0   0   0   0 tuteeHUB earn credit +10 pts
5 Star Rating 1 Rating
GIVEN:The ratio of the TWO numbers is 17 : 28.Concept USED:Ratio concept used.Calculation:Let the smaller number be xAnd the larger number be ySo, x/y = 17/28 ⇒ 28x = 17y ----(i)When 6 is added to the smaller number, the smaller number becomes = x + 6SO, the new ratio becomes:(x + 6)/y = 13/20 ⇒ 20 × (x + 6) = 13y⇒ 20x + 120 = 13y⇒ x = (13y – 120)/20 ----(ii)We substitute the value of x from equation(ii) into equation(i), to get:28 × [(13y – 120)/20]= 17y⇒ 28 × (0.65y – 6) = 17y⇒ y = 140∴ The value of the larger number is 140.(17x + 6) : 28x = 13 : 20⇒ (17x + 6)/28x = 13/20⇒ 20(17x + 6) = 13(28x)⇒ 340x + 120 = 364x⇒ 120 = 24x⇒ x = 120/24 = 5Larger number = 28x = 28 × 5 = 140∴ The value of the larger number is 140.
Previous Next

Posted on 25 Oct 2024, this text provides information on Current Affairs related to General Awareness in Current Affairs. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

Take Quiz To Earn Credits!

Turn Your Knowledge into Earnings.

tuteehub_quiz

Tuteehub forum answer Answers

Post Answer

No matter what stage you're at in your education or career, TuteeHub will help you reach the next level that you're aiming for. Simply,Choose a subject/topic and get started in self-paced practice sessions to improve your knowledge and scores.

Explore Other Libraries

Blogs Tutorials Question Bank Feeds Careernews