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SSC Sample Paper SSC (Group-C) Sample Test Paper-4

  • question_answer
    If the age of P and R are added to twice the age of Q, the total becomes 59. If the ages of Q and R added to thrice the age of P, the total becomes 68. And, if the age of P is added to thrice the age of Q and twice the age of R, the total becomes 108. What is the age of P?

    A)  15 years         

    B)  19 years

    C)  17years          

    D)  12 years

    Correct Answer: B

    Solution :

     w.k.t \[P+R+2Q~\]    \[=59\]  ?..(i) \[Q+R+3P\]       \[=68\] ?.(ii) \[3(P+Q)+2R\]           \[=108\] ?..(iii) From \[e{{q}^{n}}\](i). (iii) \[e{{q}^{n}}(1)\times 3-e{{q}^{n}}\,(iii)\] \[3P+3R+6Q\]                       \[=177\] \[3P+3Q+2R\]           \[=108\] 3Q + R = 69 ? (iv) \[e{{q}^{n}}\,\,(iii)-(ii)\] 2 Q + R = 40 ? (v) From (iv) and (v), \[Q=29,\text{ }R=-18\] Put in \[e{{q}^{n}}\text{ }\left( 2 \right)\] \[29-18+3P=68\] \[3P=57\] P = 19


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