ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    Consider two natural numbers, 'a' and 'b', which are in

    the ratio of 17:20. If we increase 'a' by 18 and decrease 'b' by 20, the new ratio of 'a' to 'b' becomes 6:5. Determine the square of the difference between 'a' and 'b'.
    A 324 Correct Answer Incorrect Answer
    B 256 Correct Answer Incorrect Answer
    C 144 Correct Answer Incorrect Answer
    D 400 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let values of 'a' and 'b' be '17y' and '20y'. respectively. ATQ, (17y + 18) ├╖ (20y - 20) = (6/5) Or, 5 X (17y + 18) = 6 X (20y - 20) Or, 85y + 90 = 120y - 120 Or, 35y = 210 Or, 'y' = 6 Required square of difference between two numbers: = (20y - 17y)┬а2┬а= (3y)┬а2┬а= (3 X 6)┬а2┬а= 182┬а= 324

    Practice Next
    More No. System Questions

    Relevant for Exams:

    ask-question