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If Nidhi were $7$ years younger than what she actually is, then the square of her age (in years) would be $1$ more than $5$ times her actual age. What is her present age?
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Let the present age of Nidhi be $x$ years.
According to question, $(x - 7)^2 = 5x + 1$
$x^2- 19x + 48 = 0$
$(x - 16)(x - 3) = 0$
$x = 16,3$
$x \neq 3$
$\therefore x = 16$
Hence, the present age of Nidhi $= 16$ years
According to question, $(x - 7)^2 = 5x + 1$
$x^2- 19x + 48 = 0$
$(x - 16)(x - 3) = 0$
$x = 16,3$
$x \neq 3$
$\therefore x = 16$
Hence, the present age of Nidhi $= 16$ years