hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    If two numbers with HCF = 9 are in the ratio 5 : 7, what is their difference?
    Question

    If two numbers with HCF = 9 are in the ratio 5 : 7, what is their difference?

    A.

    18

    B.

    24

    C.

    12

    D.

    8

    Correct option is A

    Given:
    HCF of two numbers = 9.
    The two numbers are in the ratio 5:7.
    Formula Used:
    If two numbers are in the ratio m:n and their HCF is H, then the numbers are: 
    Number 1=H×m, Number 2=H×n.Difference between the numbers=H×(nm).\text{Number 1} = H \times m, \, \text{Number 2} = H \times n. \\\text{Difference between the numbers} = H \times (n - m).​​
    Solution:
    The two numbers are: 
    Number 1=9×5=45, Number 2=9×7=63.Difference between the numbers: 6345=18.\text{Number 1} = 9 \times 5 = 45, \, \text{Number 2} = 9 \times 7 = 63. \\\text{Difference between the numbers: } 63 - 45 = 18.​​

    Free Tests

    Free
    Must Attempt

    CBT-1 Full Mock Test 1

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    RRB NTPC Graduate Level PYP (Held on 5 Jun 2025 S1)

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    CBT-1 General Awareness Section Test 1

    languageIcon English
    • pdpQsnIcon40 Questions
    • pdpsheetsIcon30 Marks
    • timerIcon25 Mins
    languageIcon English
    test-prime-package

    Access ‘RRB JE’ 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