Subject

    Bank Exam

    Topic

    এনআরবিসি ব্যাংক (টিএও) - ২৬.১০.২০২৪

    There are two numbers where the sum of twice the first number and thrice the second number is 100. Again the sum of thrice the first number and twice the second number is 120. Which is the largest number?

    ক)
    32
    খ)
    12
    গ)
    35
    ঘ)
    14

    Explanation

    মনেকরি, সংখ্যাদ্বয় = x ও y প্রশ্নমতে, 2x + 3y = 100 ........ (i) 3x + 2y = 120 ........ (ii) (i) × 2 - (ii) × 3 ⇒ 4x + 6y = 200 9x + 6y = 360 -5x = -160 ⇒ x = 32 ∴ (i) ⇒ 2 × 32 + 3y = 100 ⇒ 64 + 3y = 100 ⇒ 3y = 100 - 64 ⇒ 3y = 36 ⇒ y = 12 ∴ বড় সংখ্যাটি = 32

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