hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    If (a+b): (b+ c): (c+a)= 6 : 7 : 8 and a+b+c= 14, then the value of c =
    Question

    If (a+b): (b+ c): (c+a)= 6 : 7 : 8 and a+b+c= 14, then the value of c =

    A.

    6

    B.

    7

    C.

    8

    D.

    14

    Correct option is A

    (a+b) : (b+c) : (c+a) = 6 : 7 : 8
    Let 6x : 7x : 8x
    Or, a+b+b+c+c+a = 6x + 7x + 8x
    2x +2b+2c = 21x
    Or, 2 ( a+b+c) = 21x
    Or, a+b+c = 21/2 x
    Given,
    a+b+c = 14
    21/2 x = 14
    Or, x = 28 / 21 = 4/3
    So, a+b = 6 x 4/3 = 8
    So, a+b+c = 14
    C = 14 – 8 = 6

    Free Tests

    Free
    Must Attempt

    UPTET Paper 1: PYP Held on 23rd Jan 2022 (Shift 1)

    languageIcon English
    • pdpQsnIcon150 Questions
    • pdpsheetsIcon150 Marks
    • timerIcon150 Mins
    languageIcon English
    Free
    Must Attempt

    UPTET Paper 2 Social Science : PYP Held on 23rd Jan 2022 (Shift 2)

    languageIcon English
    • pdpQsnIcon150 Questions
    • pdpsheetsIcon150 Marks
    • timerIcon150 Mins
    languageIcon English
    Free
    Must Attempt

    UPTET Paper 2 Maths & Science : PYP Held on 23rd Jan 2022 (Shift 2)

    languageIcon English
    • pdpQsnIcon150 Questions
    • pdpsheetsIcon150 Marks
    • timerIcon150 Mins
    languageIcon English
    test-prime-package

    Access ‘REET’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    354k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow