Math, asked by anandsagarbsc2387, 11 months ago

If zeba were younger by 5 years than what she really is, then the square of herage (in years) would have been 11 more than five times her actual age. What isher age now?

Answers

Answered by pnku61
1

riiywrna a bit too late and the same problem and it

Answered by VelvetBlush
5

Let the present age of Zeba = x years

5 years ago:

\longrightarrow\sf{ {(x - 5)}^{2}  = 5x + 11}

\longrightarrow\sf{ {x}^{2}  - 10  +  25 = 5x + 11}

\longrightarrow\sf{ {x}^{2}  - 15x + 14 = 0}

\longrightarrow\sf{(x - 1)(x - 14) = 0}

\longrightarrow\sf{x = 1 \: or \: x = 14}

But x ≠ 1, because then x - 5 would be negative.

Hence, the present age of Zeba = 14 years.

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