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    Question

    Three numbers x, y, and z are co-prime to each other

    such that xy = 91 and yz = 154. Find the value of (x + y + z).
    A 34 Correct Answer Incorrect Answer
    B 36 Correct Answer Incorrect Answer
    C 35 Correct Answer Incorrect Answer
    D 42 Correct Answer Incorrect Answer

    Solution

    Given, xy = 91 and yz = 154. Since x, y, and z are co-prime, the common factor in xy and yz must be y. The prime factorization of 91 is 7 * 13, and for 154 is 7 * 22. Thus, y = 7, x = 13, and z = 22. Therefore, x + y + z = 13 + 7 + 22 = 42.

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