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    Question

    The age of person A (y+3) years

    ago and the age of person B (y+4) years from now are in the ratio 2:3. It is also given that: Person A is 5 years younger than person C. Person B is 6 years older than person C. Person C will be 40 years old after 6 years. Find the Value of 'y'
    A 5 Correct Answer Incorrect Answer
    B 4 Correct Answer Incorrect Answer
    C -2 Correct Answer Incorrect Answer
    D 8 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;

    Given: C will be 40 years old after 6 years → C's current age = 40 − 6 = 34 A is 5 years younger than C → A = 34 − 5 = 29 B is 6 years older than C → B = 34 + 6 = 40 A's age (y + 3) years ago = 29 − (y + 3) = 26 − y B's age (y + 4) years from now = 40 + (y + 4) = 44 + y According to the question: (26 − y) / (44 + y) = 2 / 3 3(26 − y) = 2(44 + y) 78 − 3y = 88 + 2y 78 − 88 = 2y + 3y −10 = 5y y = −2

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