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If zeba were youngers by 5 …

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If zeba were youngers by 5 years than what she really is then the square of her age would have been 11 more than 5 times her actual age .what is her age now?

    • Posted by Rahul Ray 6 years, 3 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 3 months ago

    Let the actual age of Zeba be 'x' years. If her age is 5 years less than the actual, her age would be (x-5) years. Clearly; x ≥5......(1)
    According to the question, we have
      (x - 5)2 = 5x + 11
    {tex}\Rightarrow{/tex} x2 - 10x + 25 = 5x + 11
    {tex}\Rightarrow{/tex} x2 - 15x + 14 = 0
    {tex}\Rightarrow{/tex} x2 - 14x - x + 14 = 0
    {tex}\Rightarrow{/tex} (x - 14) - 1(x - 14) = 0
    {tex}\Rightarrow{/tex} (x - 14)(x - 1) = 0
    {tex}\Rightarrow{/tex} x - 14 = 0 or x - 1 = 0
    {tex}\Rightarrow{/tex} x = 14 or x = 1
    Since x > 5, we have x = 14
    Thus, the present age of Zeba is 14 years.

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