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    Question

    The difference between the squares of two positive

    numbers is 18 times the difference between the numbers. If the smaller number is 7, then what is the greater number?
    A 14 Correct Answer Incorrect Answer
    B 11 Correct Answer Incorrect Answer
    C 17 Correct Answer Incorrect Answer
    D 10 Correct Answer Incorrect Answer

    Solution

    Let the two numbers be ‘a’ and ‘b’ Then, according to the question; (a2 – b2) = (a – b) × 18 Also, (a2 – b2) = (a + b) × (a – b) So, (a + b) = 18 Since b = 7 So, a = 18 – 7 = 11

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