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    Question

    Two numbers are such that the square of one is 224 less

    than 8 times the square of the other. If the numbers are in the ratio of 3 : 4, find the numbers.
    A 8, 18 Correct Answer Incorrect Answer
    B 9, 12 Correct Answer Incorrect Answer
    C 12, 16 Correct Answer Incorrect Answer
    D 6, 8 Correct Answer Incorrect Answer

    Solution

    Let there is a common term be x Then the numbers will be 4x and 3x. According to the question- (4x) ² = 8(3x) ² - 224 8(3x) ² - (4x) ² = 224 72x² - 16x² = 224 56x² = 224 x² = 4 x = 2, then numbers =4x =4×2=8 and 3x =3×2 =6. numbers 6,8

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