Subject

    Bank Exam

    Topic

    ২০২১ সাল ভিত্তিক সমন্বিত ০৭ ব্যাংক (অফিসার ক্যাশ/টেলর) - ২৪.০৫.২০২৪

    The difference between two numbers is 5 and the difference between their square is 65. What is the smaller number?

    ক)
    4
    খ)
    5
    গ)
    11
    ঘ)
    13

    Explanation

    Let the numbers be x and y Then, x - y = 5.........(i) x 2 - y 2 = 65 Or (x + y)(x - y) = 105 5(x + y) = 65 x + y = 13 ....... (ii) by adding (i) and (ii) we get, 2x = 5 + 13 2x = 18 x = 9 From (ii)  we get x + y = 13 9 + y = 13 y = 13 - 9 y = 4 Hence, the smaller number is 4

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