SSC Sample Paper SSC CGL - Sample Paper-2

  • question_answer
    A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages in one-eleventh of their sum." The woman's age is

    A)  23 yr               

    B)  34 yr

    C)  45 yr                           

    D)  None of these

    Correct Answer: B

    Solution :

    Let x and y be the ten's and unit's digits respectively of numeral denoting the woman's age Then, woman's age \[=(10x\times y)yr\] husband' age \[=(10y\times x)yr.\] Therefore \[(10y\times x)-(10x\times y)\]             \[=(1/11)(10y+x+10x+y)\] \[\Leftrightarrow \] \[(9y-9x)=(1/11)(11y+11x)\]             \[=(x+y)\] \[\Leftrightarrow \] \[10x=8y\] \[\Leftrightarrow \] \[x=(4/5)y\] Clearly, y should be a single-digit multiply of 5, which is 5, So,       \[x=4,\text{ }\] \[y=5\] Hence, woman's age \[=10x+y=45yr\]

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