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    Question

    If AB = x + 3, BC = 2x and AC = 4x − 5, then for what

    value of ‘x’ does B lie on AC?
    A 2 Correct Answer Incorrect Answer
    B 3 Correct Answer Incorrect Answer
    C 5 Correct Answer Incorrect Answer
    D 8 Correct Answer Incorrect Answer

    Solution

    To find the value of 'x' such that point B lies on line AC, the sum of the lengths AB and BC must equal the length of AC. Given: For B to lie on AC, we have the equation:

    AB+BC = AC Substitute the given expressions: (x+3)+2x = 4x − 5 Simplify: 3x+3 = 4x − 5 Subtract 3x from both sides = 3 = x − 5 Add 5 to both sides = x = 8

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