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. Additionally, it is given that:A is 5 years younger than C.B is 6 years older than C.C will be 40 years old after 6 years.
    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,(A−(y+3)):(B+(y+4))=2:3Also, age of C = 40−6=34 yearsSo, age of A = 34−5=29 yearsAge of B = 34+6=40 yearsNow, using the equation:(29−y−3):(40+y+4)=2:3(26−y):(44+y)=2:3Cross multiply:3(26−y)=2(44+y)78−3y=88+2y5y=88−785y=10y=2

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