Subject

    Quantitative Aptitude

    Topic

    LCM & HCF

    The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ?

    ক)
    63 and 49
    খ)
    64 and 48
    গ)
    62 and 46
    ঘ)
    64 and 49

    Explanation

    Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y Difference = 14 => 7x - 7y = 14 => x - y = 2 product of numbers = product of their hcf and lcm => 7x * 7y = 441 * 7 => x * y = 63 Now, we have x * y = 63 , x - y = 2 => x = 9 , y = 7 The numbers are 7x and 7y => 63 and 49

    Find Tutors

    View all Tutors