Find a positive number which when increased by 10 is equal to 75 times the reciprocal of the


Correct Answer:

Description for Correct answer:

Let the positive number be x Now, according to question \( \Large x + 10 = \frac{200}{x} \) \( \Large x^{2} + 10x = 200 \) \( \Large x^{2} + 10x - 200=0 \) \( \Large x^{2} + 20x - 10x - 200 = 0 \) x(x + 20) - 10(x + 20) = 0 (x - 10)( x + 20) = 0 x = 10 or x = -20 But x is a positive number \( \Large x \ne -20 \) \( \Large x = 10 \) Hence the positive number is 10

option (b)is correct.


Part of solved CDS Maths(2) questions and answers : Exams >> CDSE >> CDS Maths(2)

Comments

Similar Questions

Recommended textbooks for you

  • Find a positive number which when increased by 10 is equal to 75 times the reciprocal of the

    Algebra: Structure And Method, Book 1

    Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

    Publisher:McDougal Littell

    Find a positive number which when increased by 10 is equal to 75 times the reciprocal of the

    Intermediate Algebra

    Author:Jerome E. Kaufmann, Karen L. Schwitters

    Publisher:Cengage Learning

    Find a positive number which when increased by 10 is equal to 75 times the reciprocal of the

    Glencoe Algebra 1, Student Edition, 9780079039897...

  • Find a positive number which when increased by 10 is equal to 75 times the reciprocal of the

    Algebra & Trigonometry with Analytic Geometry

    Find a positive number which when increased by 10 is equal to 75 times the reciprocal of the

    Algebra for College Students

    Author:Jerome E. Kaufmann, Karen L. Schwitters

    Publisher:Cengage Learning

    Find a positive number which when increased by 10 is equal to 75 times the reciprocal of the

    Intermediate Algebra

    Publisher:OpenStax College

  • Find a positive number which when increased by 10 is equal to 75 times the reciprocal of the

    Algebra: Structure And Method, Book 1

    ISBN:9780395977224

    Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

    Publisher:McDougal Littell

    Find a positive number which when increased by 10 is equal to 75 times the reciprocal of the

    Intermediate Algebra

    ISBN:9781285195728

    Author:Jerome E. Kaufmann, Karen L. Schwitters

    Publisher:Cengage Learning

    Find a positive number which when increased by 10 is equal to 75 times the reciprocal of the

    Glencoe Algebra 1, Student Edition, 9780079039897...

    ISBN:9780079039897

    Author:Carter

    Publisher:McGraw Hill

    Algebra & Trigonometry with Analytic Geometry

    ISBN:9781133382119

    Author:Swokowski

    Publisher:Cengage

    Find a positive number which when increased by 10 is equal to 75 times the reciprocal of the

    Algebra for College Students

    ISBN:9781285195780

    Author:Jerome E. Kaufmann, Karen L. Schwitters

    Publisher:Cengage Learning

    Find a positive number which when increased by 10 is equal to 75 times the reciprocal of the

    Intermediate Algebra

    ISBN:9780998625720

    Author:Lynn Marecek

    Publisher:OpenStax College