Subject

    Bank Exam

    Topic

    পূবালী ব্যাংক লিমিটেড (প্রবেশনারী অফিসার) - ৩০.০৯.২০২৩

    The sum of two numbers is 184. If one-third of the one exceeds one-seventh of the other by 8, find the smaller number.

    ক)
    65
    খ)
    72
    গ)
    76
    ঘ)
    80

    Explanation

    let one number is x other is 184 - x x/3 = {(184 - x)/7} + 8 ⇒ (x/3) - {(184 - x)/7 = 8 ⇒ {7x - (3 × 184) + 3x} /21 = 8 ⇒ 10x - 552 = 168 ⇒ 10x = 720 ⇒ x = 720/10 = 72 Another number = 180 - 72 = 108 ∴ Smaller number is 72

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